Profit and Loss
1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Answer: 14400
Explanation:
Ratio of the investment = 21000 : 17500
= 210 : 175
= 42 : 35
= 6 : 5
Share of X in the profit = 26400 * ( 6 / 11 )
= 2400 * 6
= 14400
2. The cost of 125 shirts is Rs. 11250 and transportation charges are Rs. 375. For a 20% profit, the selling price of each shirt should be?
Answer: Rs. 111.60
Explanation:
The total cost price of 125 shirts = 11250 + 375
= Rs. 11625
∴ The total selling price of 125 shirts = ( 120 * 11625 ) / 100
= Rs. 13950
∴ Selling price of one shirt = 13950 / 125
= Rs. 111.60
3. A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answer: 5
Explanation:
CP of 6 bananas = 1
Gain = 20%
SP of 6 bananas = 1 * ( 120 / 100 )
= 12 / 10
⇒ The number of bananas he should sell for Rupee 1 inorder to gain 20% = ( 10 / 12 ) * 6
= ( 10 / 2 )
= 5
4. Ram purchased 100 sarees at Rs. 450 per piece. While selling he offered 10% discount on the labelled price and earned a profit of 20%. What was the lebelled price of each saree?
Answer: Rs. 600
Explanation:
Let the labelled price of each saree be Rs. x.
According to the question,
90% of x = ( 120 * 450 ) / 100
( 90 * x ) / 100 = ( 120 * 450 ) / 100
x = [ ( 120 * 450 ) / 100 ] * [ 100 / 90 ]
⇒ x = ( 120 * 450 ) / 90
x = Rs. 600
5. The profit earned by selling an article for Rs.630 is equal to the loss incurred when the same article is sold for Rs. 370. What should be the sale price for making 50% profit?
Answer: Rs. 750
Explanation:
Let C.P be x
630 - x = x - 370
2x = 1000
x = 500
Required Sell Price = 150% of 500
= 150 * ( 500 / 100 )
= Rs. 750
6. Arun buys 9 books for Rs. 100 but sells 8 for Rs. 100. What is the net percent profit?
Answer: 12.5%
Explanation:
Selling Price of 8 books = Rs. 100
Selling Price of 1 book = 100 / 8
= Rs. 12.50
Selling Price of 9 books = 12.50 * 9
= Rs. 112.50
Profit per cent = 112.50 - 100
= 12.5%
7. Water tax is increased by 20% but its consumption is decreased by 20%. Then, the increase or decrease in the expenditure of the money?
Answer: 4% decrease in expenditure
Explanation:
Let tax = Rs.100
Consumption = 100 units
Original expenditure = Rs. ( 100 * 100 )
= Rs. 10000
New expenditure = Rs. ( 120 * 80 )
= Rs. 9600
Difference in expenditure = 10000 - 9600
= 400
Decrease in expenditure = [ ( 400 / 10000 ) * 100 ]%
= 4%
∴ Decrease in expenditure is 4%
8. A, B, C purchase a farm for Rs. 10000 of which A pays Rs. 4000. They sell it so as to gain a certain sum, of which B gets Rs. 275 and C gets Rs. 175. Find the share of A in the profit?
Answer: Rs. 300
Explanation:
A, B, C together pay Rs. 10000 for the farm.
∴ B and C together pay Rs. 6000 ( Since 10000 - 4000 = 6000 )
∴ Profits of B and C = Rs. 275 + Rs. 175
= Rs. 450
With a capital of Rs. 6000, B and C get a profit of Rs. 450
∴ A contributes Rs. 4000 and will get a profit = ( 4000 / 6000 ) * 450
= Rs. 300
9. In order to obtain an income of Rs.650 from 10% stock at Rs.96, one must make an investment amount
Answer: Rs. 6240
Explanation:
To obtain Rs.10, investment = Rs. 96
To obtain Rs. 650
Investment = Rs. ( 96 / 10 ) * 650
= Rs. 6240
10. Nikhil invests 26% of his annual income or Rs. 89856 in mutual fund . What is his monthly income?
Answer: Rs. 28800
Explanation:
According to the question,
Annual income of Nikhil = ( 89856 / 26 ) * 100
= Rs. 345600
∴ Monthly income = 345600 / 12
= Rs. 28800
11. If the cost price is 25% of selling price. Then what is the profit percent.
Answer: 300%
Explanation:
Let the S.P = Rs. 100
then C.P. = Rs. 25
Profit = Rs. 75
Profit% = ( 75 / 25 ) * 100
= 300%
12. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B joined, if the profits at the end of the year are divided in the ratio of 3 : 1?
Answer: 8 months
Explanation:
Suppose B joined for x months.
( 85000 * 12 ) / ( 42500 * x ) = ( 3 / 1 )
x = ( 85000 * 12 ) / ( 42500 * 3 )
x = 8
B joined for 8 months.
13. The owner of a furniture shop charges his customer 29% more than the cost price. If a customer paid Rs. 7482 for a computer table, then what was the cost price of the computer table?
Answer: Rs. 5800
Explanation:
Let the cost price of the computer table be Rs. x
129% of x = 7482
⇒ ( 129 * x ) / 100 = 7482
⇒ x = ( 7482 * 100 ) / 129
= Rs. 5800
14. The cost of 15 cell phones and 10 watches is Rs. 60,675. What is the cost of 3 cell phones and 2 watches?
Answer: 12135
Explanation:
Let the CP of one cell phone be Rs. x and that of 1 watch be Rs. y
15x + 10y = 60675
Dividing both sides by 5
3x + 2y = ( 60675 / 5 )
= 12135
15. Hriday invests Rs. 5724, which is 18% of his monthly income, in mutual funds. What is his monthly income?
Answer: Rs. 31800
Explanation:
Let Hriday monthly income be Rs. x,
According to the question,
18% of x = 5724
⇒ x = ( 5724 / 18 ) * 100
⇒ Rs. 31800
16. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Answer: 8(1 / 3)%
Explanation:
Price per 1 kg = 420 / 70
= Rs. 6
Profit per 1 kg = Rs. 6.5 - Rs. 6
= Rs. 0.5
Profit for 70 kg = 0.5 * 70
= Rs. 35
Gain % = ( 35 / 420 ) * 100
= 8.33%
= 8 *( 1 / 3 )%
18. A man purchases an electric heater whose printed price is Rs.160. If he received two successive discounts of 20% and 10%; he paid :
Answer: Rs. 115.60
Explanation:
Price after 1st discount = 80% of Rs. 160
= Rs. 128
Price after 2nd discount = 90% of Rs. 128
= Rs. 115.20
19. The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%?
Answer: Rs. 124.75
Explanation:
Assume that face value = Rs. 100
Dividend per share = Rs. 10.5 (as it is 10.5% stock)
By investing Rs. 9000, earnings = Rs. 756
To get an earning of Rs. 10.5, investment required = ( 9000 * 10.5 ) / 756
= Rs. 125
Market value of Rs. 100 stock = Rs. ( 125 - ( 1 / 4 ) )
= Rs. 124.75
20. What is the loss percent if a man loses Rs. 10 on selling an article for Rs. 100?
Answer: 9%
Explanation:
Selling Price = Rs. 100
Loss = Rs. 10
C.P = ( 100 / 90 ) * 100
= Rs. ( 1000 / 9 )
∴ Loss% = [ 10 * ( 9 /1000 ) * 100 ]%
= 9%
21. A dealer sells his goods at cost price 900gm weight for 1kg, find his gain percentage?
Answer: [ 11 * ( 1 / 9 ) ]% gain
Explanation:
Cost price = 900
Selling price = 1000
= [ ( 1000 - 900 ) / 900 ] * 100
= ( 100 / 900 ) * 100
= 100 / 9 ( ∴ Fraction of 100 / 9 = [ 11 * ( 1 / 9 ) ] )
= [ 11 * ( 1 / 9 ) ]% gain
22. Find the cash required to purchase Rs. 3200, [ 7 * ( 1 / 2 ) ] stock at 107, brokerage ( 1 / 2 )% ?
Answer: Rs. 3440
Explanation:
Cash required to purchase Rs. 100 stock = Rs. [ 107 + ( 1 / 2 ) ]
Cash required to purchase Rs. 3200 stock = Rs. [ ( ( 215 / 2 ) * 3200 ) / 100 ]
= Rs. ( 215 * 16 )
= Rs. 3440
23. One third of Rahul′s savings in National Savings Certificate is equal to one half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund?
Answer: 72000
Explanation:
Let savings in National Savings Certificate = x
Savings in Public Provident Fund = ( 180000 - x )
⇒ ( 1 / 3 ) x = ( 1 / 2 ) * ( 180000 - x )
⇒ x / 3 = ( 180000 - x ) / 2
2x = 3 * ( 180000 - x )
2x = 540000 - 3x
2x + 3x = 540000
5x = 540000
x=540000 / 5
= 108000
Savings in Public Provident Fund = ( 180000 - 108000 )
= 72000
24. A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Find hire charges paid by B?
Answer: Rs. 160
Explanation:
A : B : C = 7 : 8 : 11
Total ratio = 26
Hire charges paid by B = Rs. [ 520 * ( 8 / 26 ) ]
= Rs. ( 40 * 4 )
= Rs. 160
25. John buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
Answer: [ 5 * ( 5 / 11 ) ]
Explanation:
Cost Price = 4700 + 800
= Rs. 5500
Selling Price = Rs. 5800
Gain = ( Selling Price ) - ( Cost Price )
= 5800 - 5500
= Rs. 300
Gain % = ( Gain / Cost Price ) * 100
= ( 300 / 5500 ) * 100
= 300 / 55
= 60 / 11
= [ 5 * ( 5 / 11 ) ]
26. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Answer: Rs. 890
Explanation:
Arun : Kamal : Vinay = ( 8,000 * 6 ) : ( 4,000 * 8 ) : ( 8,000 * 8 )
= 48 : 32 : 64
= 3 : 2 : 4
Kamal′s share = Rs. [ 4005 * ( 2 / 9 ) ]
= Rs. ( 445 * 2 )
= Rs. 890
27. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. Find his profit percent?
Answer: 5 %
Explanation:
Cost price of 56 kg rice = Rs. [ ( 26 * 20 ) + ( 30 * 36 ) ]
= Rs. ( 520 + 1080 )
= Rs. 1600
Selling price of 56 kg rice = Rs. ( 56 * 30 )
= Rs. 1680
Gain = [ ( 80 / 1600 ) * 100 ] %
= 5 %
28. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Answer: Rs. 4991
Explanation:
Total sale for 5 m ( 6435 + 6927 + 6855 + 7230 + 6562 )
= Rs. 34009
Required sale = Rs. [ ( 6500 * 6 ) - 34009 ]
= Rs. ( 39000 - 34009 )
= Rs. 4991
29. The interest on a certain deposit at 5% per annum is Rs. 101.20 in one year. How much will the additional interest in one year be on the same deposit at 6% per annum?
Answer: Rs. 20.24
Explanation:
Principal = ( 100 * Simple Interest ) / ( Rate * Time )
= ( 100 * 101.20 ) / ( 5 * 1 )
= 20 * 101.20
= Rs. 2024
Simple Interest for Rs.2024 at 6% per annum for 1 year.
Simple Interest = ( 2024 * 6 * 1 ) / 100
= ( 3036 / 25 )
= 121.44
Additional Interest = Rs. ( 121.44 - 101.20 )
= Rs. 20.24
30. If A lends Rs. 3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then find the gain of B (in Rs.) in a period of 3 years?
Answer: Rs. 157.50
Explanation:
Gain = A′s lead - B′s lead
= [ ( Principal * Rate * Time ) / 100 ] - [ ( Principal * Rate * Time ) / 100 ]
= [ ( 3500 * 11.5 * 3 ) / 100 ] - [ ( 3500 * 10 * 3 ) / 100 ]
= ( 35 * 11.5 * 3 ) - ( 35 * 10 * 3 )
= 1207.5 - 1050
= Rs. 157.50
31. A table is bought for Rs. 400 and sold at Rs. 500 find gain percentage?
Answer: 25 %
Explanation:
Formula = [ ( Selling price - Cost price ) / ( Cost price ) ] * 100
= [ ( 500 - 400 ) / 400 ) ] * 100
= ( 100 / 400 ) * 100
= ( 1 / 4 ) * 100 ]
= 100 / 4
= 25 %
32. A man buys an article for Rs.27.50 and sells it for Rs.28.60. Find the gain percent ?
Answer: 4 %
Explanation:
Cost Price = Rs. 27.50
Selling Price =Rs. 28.60
Gain = Selling Price - Cost Price
= 28.60 - 27.50
= Rs. 1.10
Gain % = [ ( Gain * 100 ) / Cost Price ] %
= [ ( 1.10 * 100 ) / 27.50 ] %
= ( 110 / 27.50 ) %
= 4 %
33. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit
Answer: Rs. 2660
Explanation:
For managing, A received = 5% of Rs. 7400
= Rs. [ ( 5 / 100 ) * 7400 ]
= Rs. 370
Balance = Rs. ( 7400 - 370 )
= Rs. 7030
Ratio of their investments = ( 6500 * 6 ) : ( 8400 * 5 ) : ( 10000 * 3 )
= 39000 : 42000 : 30000
= 13 : 14 : 10
B′s share = Rs. [ 7030 * ( 14 / 37 ) ]
= Rs. ( 190 * 14 )
= Rs. 2660
34. If a man were to sell his chair for Rs. 720, he would lose 25%. Find the gain 25 % he should sell ?
Answer: Rs. 1200
Explanation:
Cost price = ( 100 / 75 ) * 720
= 48 * 20
= Rs. 960
To gain 25 %, Selling price = ( 125 / 100 ) * 960
= 25 * 48
= Rs. 1200
35. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
Answer: Rs. 11500
Explanation:
Present worth of Rs. 12880 due 8 months
Present worth = ( 100 * Amount ) / ( 100 + ( Rate * Time ) )
= Rs. [ ( 12880 * 100 ) / ( 100 + ( 18 * ( 8 / 12 ) ) ) ]
= Rs. [ ( 12880 * 100 ) / ( 100 + 12 ) ]
= Rs. [ ( 12880 * 100 ) / ( 112 ) ]
= Rs. [ ( 460 * 25 ) ]
= Rs. 11500
36. Vilcas bought paper sheets for Rs. 7200 and spent Rs. 200 on transport. Paying Rs. 600, he had 330 boxes made, which he sold at Rs. 28 each. Find his profit percentage?
Answer: 15.5
Explanation:
Total investment = Rs. ( 7200 + 200 + 600 )
= Rs. 8000
Total receipt = Rs. ( 330 * 28 )
= Rs. 9240
profit % = [ ( 1240 / 8000 ) * 100 ]
= 124 / 8
= 15.5
37. A, B and C stared a business by investing Rs. 120000, Rs. 135000 and Rs. 150000 respectively. Find the share of each, out of an annual profit of Rs. 56700?
Answer: Rs. 16800, Rs. 18900, Rs. 21000
Explanation:
Ratio of shares of A, B, C = Ratio of their investments
= 120000 : 135000 : 150000
= 8 : 9 : 10
A′s share = Rs. [ 56700 * ( 8 / 27 ) ]
= Rs. ( 2100 * 8 )
= Rs. 16800
B′s share = Rs. [ 56700 * ( 9 / 27 ) ]
= Rs. ( 2100 * 9 ) = Rs. 18900
C′s share = Rs. [ 56700 * ( 10 / 27 ) ]
= Rs. ( 2100 * 10 )
= Rs. 21000
Thanks for coming here
Always give your feedback
And please Share it because "Knowledge increases by sharing"
1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Answer: 14400
Explanation:
Ratio of the investment = 21000 : 17500
= 210 : 175
= 42 : 35
= 6 : 5
Share of X in the profit = 26400 * ( 6 / 11 )
= 2400 * 6
= 14400
2. The cost of 125 shirts is Rs. 11250 and transportation charges are Rs. 375. For a 20% profit, the selling price of each shirt should be?
Answer: Rs. 111.60
Explanation:
The total cost price of 125 shirts = 11250 + 375
= Rs. 11625
∴ The total selling price of 125 shirts = ( 120 * 11625 ) / 100
= Rs. 13950
∴ Selling price of one shirt = 13950 / 125
= Rs. 111.60
3. A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answer: 5
Explanation:
CP of 6 bananas = 1
Gain = 20%
SP of 6 bananas = 1 * ( 120 / 100 )
= 12 / 10
⇒ The number of bananas he should sell for Rupee 1 inorder to gain 20% = ( 10 / 12 ) * 6
= ( 10 / 2 )
= 5
4. Ram purchased 100 sarees at Rs. 450 per piece. While selling he offered 10% discount on the labelled price and earned a profit of 20%. What was the lebelled price of each saree?
Answer: Rs. 600
Explanation:
Let the labelled price of each saree be Rs. x.
According to the question,
90% of x = ( 120 * 450 ) / 100
( 90 * x ) / 100 = ( 120 * 450 ) / 100
x = [ ( 120 * 450 ) / 100 ] * [ 100 / 90 ]
⇒ x = ( 120 * 450 ) / 90
x = Rs. 600
5. The profit earned by selling an article for Rs.630 is equal to the loss incurred when the same article is sold for Rs. 370. What should be the sale price for making 50% profit?
Answer: Rs. 750
Explanation:
Let C.P be x
630 - x = x - 370
2x = 1000
x = 500
Required Sell Price = 150% of 500
= 150 * ( 500 / 100 )
= Rs. 750
6. Arun buys 9 books for Rs. 100 but sells 8 for Rs. 100. What is the net percent profit?
Answer: 12.5%
Explanation:
Selling Price of 8 books = Rs. 100
Selling Price of 1 book = 100 / 8
= Rs. 12.50
Selling Price of 9 books = 12.50 * 9
= Rs. 112.50
Profit per cent = 112.50 - 100
= 12.5%
7. Water tax is increased by 20% but its consumption is decreased by 20%. Then, the increase or decrease in the expenditure of the money?
Answer: 4% decrease in expenditure
Explanation:
Let tax = Rs.100
Consumption = 100 units
Original expenditure = Rs. ( 100 * 100 )
= Rs. 10000
New expenditure = Rs. ( 120 * 80 )
= Rs. 9600
Difference in expenditure = 10000 - 9600
= 400
Decrease in expenditure = [ ( 400 / 10000 ) * 100 ]%
= 4%
∴ Decrease in expenditure is 4%
8. A, B, C purchase a farm for Rs. 10000 of which A pays Rs. 4000. They sell it so as to gain a certain sum, of which B gets Rs. 275 and C gets Rs. 175. Find the share of A in the profit?
Answer: Rs. 300
Explanation:
A, B, C together pay Rs. 10000 for the farm.
∴ B and C together pay Rs. 6000 ( Since 10000 - 4000 = 6000 )
∴ Profits of B and C = Rs. 275 + Rs. 175
= Rs. 450
With a capital of Rs. 6000, B and C get a profit of Rs. 450
∴ A contributes Rs. 4000 and will get a profit = ( 4000 / 6000 ) * 450
= Rs. 300
9. In order to obtain an income of Rs.650 from 10% stock at Rs.96, one must make an investment amount
Answer: Rs. 6240
Explanation:
To obtain Rs.10, investment = Rs. 96
To obtain Rs. 650
Investment = Rs. ( 96 / 10 ) * 650
= Rs. 6240
10. Nikhil invests 26% of his annual income or Rs. 89856 in mutual fund . What is his monthly income?
Answer: Rs. 28800
Explanation:
According to the question,
Annual income of Nikhil = ( 89856 / 26 ) * 100
= Rs. 345600
∴ Monthly income = 345600 / 12
= Rs. 28800
11. If the cost price is 25% of selling price. Then what is the profit percent.
Answer: 300%
Explanation:
Let the S.P = Rs. 100
then C.P. = Rs. 25
Profit = Rs. 75
Profit% = ( 75 / 25 ) * 100
= 300%
12. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B joined, if the profits at the end of the year are divided in the ratio of 3 : 1?
Answer: 8 months
Explanation:
Suppose B joined for x months.
( 85000 * 12 ) / ( 42500 * x ) = ( 3 / 1 )
x = ( 85000 * 12 ) / ( 42500 * 3 )
x = 8
B joined for 8 months.
13. The owner of a furniture shop charges his customer 29% more than the cost price. If a customer paid Rs. 7482 for a computer table, then what was the cost price of the computer table?
Answer: Rs. 5800
Explanation:
Let the cost price of the computer table be Rs. x
129% of x = 7482
⇒ ( 129 * x ) / 100 = 7482
⇒ x = ( 7482 * 100 ) / 129
= Rs. 5800
14. The cost of 15 cell phones and 10 watches is Rs. 60,675. What is the cost of 3 cell phones and 2 watches?
Answer: 12135
Explanation:
Let the CP of one cell phone be Rs. x and that of 1 watch be Rs. y
15x + 10y = 60675
Dividing both sides by 5
3x + 2y = ( 60675 / 5 )
= 12135
15. Hriday invests Rs. 5724, which is 18% of his monthly income, in mutual funds. What is his monthly income?
Answer: Rs. 31800
Explanation:
Let Hriday monthly income be Rs. x,
According to the question,
18% of x = 5724
⇒ x = ( 5724 / 18 ) * 100
⇒ Rs. 31800
16. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Answer: 8(1 / 3)%
Explanation:
Price per 1 kg = 420 / 70
= Rs. 6
Profit per 1 kg = Rs. 6.5 - Rs. 6
= Rs. 0.5
Profit for 70 kg = 0.5 * 70
= Rs. 35
Gain % = ( 35 / 420 ) * 100
= 8.33%
= 8 *( 1 / 3 )%
18. A man purchases an electric heater whose printed price is Rs.160. If he received two successive discounts of 20% and 10%; he paid :
Answer: Rs. 115.60
Explanation:
Price after 1st discount = 80% of Rs. 160
= Rs. 128
Price after 2nd discount = 90% of Rs. 128
= Rs. 115.20
19. The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%?
Answer: Rs. 124.75
Explanation:
Assume that face value = Rs. 100
Dividend per share = Rs. 10.5 (as it is 10.5% stock)
By investing Rs. 9000, earnings = Rs. 756
To get an earning of Rs. 10.5, investment required = ( 9000 * 10.5 ) / 756
= Rs. 125
Market value of Rs. 100 stock = Rs. ( 125 - ( 1 / 4 ) )
= Rs. 124.75
20. What is the loss percent if a man loses Rs. 10 on selling an article for Rs. 100?
Answer: 9%
Explanation:
Selling Price = Rs. 100
Loss = Rs. 10
C.P = ( 100 / 90 ) * 100
= Rs. ( 1000 / 9 )
∴ Loss% = [ 10 * ( 9 /1000 ) * 100 ]%
= 9%
21. A dealer sells his goods at cost price 900gm weight for 1kg, find his gain percentage?
Answer: [ 11 * ( 1 / 9 ) ]% gain
Explanation:
Cost price = 900
Selling price = 1000
= [ ( 1000 - 900 ) / 900 ] * 100
= ( 100 / 900 ) * 100
= 100 / 9 ( ∴ Fraction of 100 / 9 = [ 11 * ( 1 / 9 ) ] )
= [ 11 * ( 1 / 9 ) ]% gain
22. Find the cash required to purchase Rs. 3200, [ 7 * ( 1 / 2 ) ] stock at 107, brokerage ( 1 / 2 )% ?
Answer: Rs. 3440
Explanation:
Cash required to purchase Rs. 100 stock = Rs. [ 107 + ( 1 / 2 ) ]
Cash required to purchase Rs. 3200 stock = Rs. [ ( ( 215 / 2 ) * 3200 ) / 100 ]
= Rs. ( 215 * 16 )
= Rs. 3440
23. One third of Rahul′s savings in National Savings Certificate is equal to one half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund?
Answer: 72000
Explanation:
Let savings in National Savings Certificate = x
Savings in Public Provident Fund = ( 180000 - x )
⇒ ( 1 / 3 ) x = ( 1 / 2 ) * ( 180000 - x )
⇒ x / 3 = ( 180000 - x ) / 2
2x = 3 * ( 180000 - x )
2x = 540000 - 3x
2x + 3x = 540000
5x = 540000
x=540000 / 5
= 108000
Savings in Public Provident Fund = ( 180000 - 108000 )
= 72000
24. A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Find hire charges paid by B?
Answer: Rs. 160
Explanation:
A : B : C = 7 : 8 : 11
Total ratio = 26
Hire charges paid by B = Rs. [ 520 * ( 8 / 26 ) ]
= Rs. ( 40 * 4 )
= Rs. 160
25. John buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
Answer: [ 5 * ( 5 / 11 ) ]
Explanation:
Cost Price = 4700 + 800
= Rs. 5500
Selling Price = Rs. 5800
Gain = ( Selling Price ) - ( Cost Price )
= 5800 - 5500
= Rs. 300
Gain % = ( Gain / Cost Price ) * 100
= ( 300 / 5500 ) * 100
= 300 / 55
= 60 / 11
= [ 5 * ( 5 / 11 ) ]
26. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Answer: Rs. 890
Explanation:
Arun : Kamal : Vinay = ( 8,000 * 6 ) : ( 4,000 * 8 ) : ( 8,000 * 8 )
= 48 : 32 : 64
= 3 : 2 : 4
Kamal′s share = Rs. [ 4005 * ( 2 / 9 ) ]
= Rs. ( 445 * 2 )
= Rs. 890
27. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. Find his profit percent?
Answer: 5 %
Explanation:
Cost price of 56 kg rice = Rs. [ ( 26 * 20 ) + ( 30 * 36 ) ]
= Rs. ( 520 + 1080 )
= Rs. 1600
Selling price of 56 kg rice = Rs. ( 56 * 30 )
= Rs. 1680
Gain = [ ( 80 / 1600 ) * 100 ] %
= 5 %
28. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Answer: Rs. 4991
Explanation:
Total sale for 5 m ( 6435 + 6927 + 6855 + 7230 + 6562 )
= Rs. 34009
Required sale = Rs. [ ( 6500 * 6 ) - 34009 ]
= Rs. ( 39000 - 34009 )
= Rs. 4991
29. The interest on a certain deposit at 5% per annum is Rs. 101.20 in one year. How much will the additional interest in one year be on the same deposit at 6% per annum?
Answer: Rs. 20.24
Explanation:
Principal = ( 100 * Simple Interest ) / ( Rate * Time )
= ( 100 * 101.20 ) / ( 5 * 1 )
= 20 * 101.20
= Rs. 2024
Simple Interest for Rs.2024 at 6% per annum for 1 year.
Simple Interest = ( 2024 * 6 * 1 ) / 100
= ( 3036 / 25 )
= 121.44
Additional Interest = Rs. ( 121.44 - 101.20 )
= Rs. 20.24
30. If A lends Rs. 3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then find the gain of B (in Rs.) in a period of 3 years?
Answer: Rs. 157.50
Explanation:
Gain = A′s lead - B′s lead
= [ ( Principal * Rate * Time ) / 100 ] - [ ( Principal * Rate * Time ) / 100 ]
= [ ( 3500 * 11.5 * 3 ) / 100 ] - [ ( 3500 * 10 * 3 ) / 100 ]
= ( 35 * 11.5 * 3 ) - ( 35 * 10 * 3 )
= 1207.5 - 1050
= Rs. 157.50
31. A table is bought for Rs. 400 and sold at Rs. 500 find gain percentage?
Answer: 25 %
Explanation:
Formula = [ ( Selling price - Cost price ) / ( Cost price ) ] * 100
= [ ( 500 - 400 ) / 400 ) ] * 100
= ( 100 / 400 ) * 100
= ( 1 / 4 ) * 100 ]
= 100 / 4
= 25 %
32. A man buys an article for Rs.27.50 and sells it for Rs.28.60. Find the gain percent ?
Answer: 4 %
Explanation:
Cost Price = Rs. 27.50
Selling Price =Rs. 28.60
Gain = Selling Price - Cost Price
= 28.60 - 27.50
= Rs. 1.10
Gain % = [ ( Gain * 100 ) / Cost Price ] %
= [ ( 1.10 * 100 ) / 27.50 ] %
= ( 110 / 27.50 ) %
= 4 %
33. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit
Answer: Rs. 2660
Explanation:
For managing, A received = 5% of Rs. 7400
= Rs. [ ( 5 / 100 ) * 7400 ]
= Rs. 370
Balance = Rs. ( 7400 - 370 )
= Rs. 7030
Ratio of their investments = ( 6500 * 6 ) : ( 8400 * 5 ) : ( 10000 * 3 )
= 39000 : 42000 : 30000
= 13 : 14 : 10
B′s share = Rs. [ 7030 * ( 14 / 37 ) ]
= Rs. ( 190 * 14 )
= Rs. 2660
34. If a man were to sell his chair for Rs. 720, he would lose 25%. Find the gain 25 % he should sell ?
Answer: Rs. 1200
Explanation:
Cost price = ( 100 / 75 ) * 720
= 48 * 20
= Rs. 960
To gain 25 %, Selling price = ( 125 / 100 ) * 960
= 25 * 48
= Rs. 1200
35. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
Answer: Rs. 11500
Explanation:
Present worth of Rs. 12880 due 8 months
Present worth = ( 100 * Amount ) / ( 100 + ( Rate * Time ) )
= Rs. [ ( 12880 * 100 ) / ( 100 + ( 18 * ( 8 / 12 ) ) ) ]
= Rs. [ ( 12880 * 100 ) / ( 100 + 12 ) ]
= Rs. [ ( 12880 * 100 ) / ( 112 ) ]
= Rs. [ ( 460 * 25 ) ]
= Rs. 11500
36. Vilcas bought paper sheets for Rs. 7200 and spent Rs. 200 on transport. Paying Rs. 600, he had 330 boxes made, which he sold at Rs. 28 each. Find his profit percentage?
Answer: 15.5
Explanation:
Total investment = Rs. ( 7200 + 200 + 600 )
= Rs. 8000
Total receipt = Rs. ( 330 * 28 )
= Rs. 9240
profit % = [ ( 1240 / 8000 ) * 100 ]
= 124 / 8
= 15.5
37. A, B and C stared a business by investing Rs. 120000, Rs. 135000 and Rs. 150000 respectively. Find the share of each, out of an annual profit of Rs. 56700?
Answer: Rs. 16800, Rs. 18900, Rs. 21000
Explanation:
Ratio of shares of A, B, C = Ratio of their investments
= 120000 : 135000 : 150000
= 8 : 9 : 10
A′s share = Rs. [ 56700 * ( 8 / 27 ) ]
= Rs. ( 2100 * 8 )
= Rs. 16800
B′s share = Rs. [ 56700 * ( 9 / 27 ) ]
= Rs. ( 2100 * 9 ) = Rs. 18900
C′s share = Rs. [ 56700 * ( 10 / 27 ) ]
= Rs. ( 2100 * 10 )
= Rs. 21000
Thanks for coming here
Always give your feedback
And please Share it because "Knowledge increases by sharing"
Comments
Post a Comment