# Profit and Loss Questions and Answers updated daily – Aptitude

Profit and Loss Questions: Solved 248 Profit and Loss Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Profit and Loss Questions

1. Some mangoes are purchased at the rate of 8 mangoes/Rs and some more mangoes at the rate of 6 mangoes/Rs, investment being equal in both the cases. Now, the whole quantity is sold at the rate of 3.5 mangoes/Rs What is the net percentage proï¬t/loss?

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Correct Ans:100% profit

Explanation:

Explanation:

---> Let 1 Rs. invested in both the cases --->

---> in 2 Rs. no. of mangoes Purchased = 8 + 6 = 14

---> SP of 14 mangoes = 14 * 1/3.5 = 4 Rs.

---> =

---> Let 1 Rs. invested in both the cases --->

---> in 2 Rs. no. of mangoes Purchased = 8 + 6 = 14

---> SP of 14 mangoes = 14 * 1/3.5 = 4 Rs.

---> =

**100% profit.**
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2. A man would gain 25% by selling a chair for Rs. 47.5 and would gain 15% by selling a table for Rs. 57.5. He sells the chair for Rs. 45; what is the least price for which he must sell the table to avoid any loss on the two together?

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Correct Ans:Rs. 43

Explanation:

Explanation:

Cost Price of chair = 100/125 * 47.5

= 38 Rs.

Cost Price of table = 100/115 * 57.5

= 50 Rs.

Required SP of table = (50 + 38) - 45 =

Cost Price of chair = 100/125 * 47.5

= 38 Rs.

Cost Price of table = 100/115 * 57.5

= 50 Rs.

Required SP of table = (50 + 38) - 45 =

**43 Rs.**
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3. By selling a pen at a profit of 60% a man got Rs 38 more than one third of its cost price. What is the cost price of pen?

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Correct Ans:30

Explanation:

---> We know that

---> 60% = 3/5

---> Therefore, according to the question

---> (8/5 - 1/3)CP = 38

---> cost price = 38/19 * 15 =

---> 60% = 3/5

---> Therefore, according to the question

---> (8/5 - 1/3)CP = 38

---> cost price = 38/19 * 15 =

**30**
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4. Vipin started a business with an investment of Rs. 42,000. After 5 months Amit joined him with a capital of Rs. 22,000. At the end of the year the total profit was Rs.16,409. What is Vipin"™s share in the profit?

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Correct Ans:Rs. 12568

Explanation:

----> Ratio of the equivalent capitals of Vipin and Amit for 1 year = 42000 * 12 : 22000 * 7

----> = 42 * 12 : 22 * 7 = 252 : 77

----> Total profit = Rs. 16409

----> Vipin share = Rs.(252 /252 + 77) * 16409 = Rs.12568

---->

----> = 42 * 12 : 22 * 7 = 252 : 77

----> Total profit = Rs. 16409

----> Vipin share = Rs.(252 /252 + 77) * 16409 = Rs.12568

---->

**Hence, option (B) is correct.**
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5. Rahim marks up all Jeans in his shop 20% higher. He gave 25% discount on 2/5th of the total Jeans and 12% discount on 1/4th of the total Jeans. If Rahim gets an overall profit of 2.3%, then what percentage of discount should be given by Rahim to customers on the remaining Jeans.

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Correct Ans:5%

Explanation:

----> Let Rahim has 100 Jeans and C.P of each Jeans is Rs. 100.

----> Then, Marked price of each Jeans = 100 * (120/100) = Rs. 120

----> And, Selling price of 100 Jeans = 100 * 100 * (102.3/100) = Rs. 10230

----> Selling price of 40 Jeans (i.e., 2/5 of 100) = 40 * 120 * (75/100) = 3600

----> Selling price of 25 Jeans (i.e., 1/4 of 100) = 25 * 120 * (88 /100) = 2640

----> Let Rahim gave a% discount on remaining (i.e., 100 â€“ 40 â€“ 25 = 35) Jeans.

----> Selling price of remaining 35 Jeans

----> = 35 * 120 * (100 â€“ a/100) = 4200 * (100 â€“ a/100)

----> According to the question,

----> 10230 = 3600 + 2640 + 4200 * (100 â€“ a/100)

----> 4200 * (100 â€“ a/100) = 10230 â€“ 6240 = 3990

----> (100 â€“ a/100) = (3990 /4200) = 0.95

----> 100 â€“ a = 95

----> a = 100 â€“ 95

---->

----> Then, Marked price of each Jeans = 100 * (120/100) = Rs. 120

----> And, Selling price of 100 Jeans = 100 * 100 * (102.3/100) = Rs. 10230

----> Selling price of 40 Jeans (i.e., 2/5 of 100) = 40 * 120 * (75/100) = 3600

----> Selling price of 25 Jeans (i.e., 1/4 of 100) = 25 * 120 * (88 /100) = 2640

----> Let Rahim gave a% discount on remaining (i.e., 100 â€“ 40 â€“ 25 = 35) Jeans.

----> Selling price of remaining 35 Jeans

----> = 35 * 120 * (100 â€“ a/100) = 4200 * (100 â€“ a/100)

----> According to the question,

----> 10230 = 3600 + 2640 + 4200 * (100 â€“ a/100)

----> 4200 * (100 â€“ a/100) = 10230 â€“ 6240 = 3990

----> (100 â€“ a/100) = (3990 /4200) = 0.95

----> 100 â€“ a = 95

----> a = 100 â€“ 95

---->

**a = 5%****Hence, option (A) is correct.**
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6. An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of 12 (1/2)% on it. The cost price of the article is

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Correct Ans:40

Explanation:

SP - Selling Price

CP - Cost Price

Let the cost price of the article = Rs. x

S.P. at 10% loss = x*(90/100) = Rs. 0.9x

S.P. at 12 (1/2) % gain

x * (100+12 (1/2))/100 = Rs. (225x/200)

According to the question, 0.9x + 9 = (225x/200)

180x + 1800 = 225x

x = Rs. 40

CP - Cost Price

Let the cost price of the article = Rs. x

S.P. at 10% loss = x*(90/100) = Rs. 0.9x

S.P. at 12 (1/2) % gain

x * (100+12 (1/2))/100 = Rs. (225x/200)

According to the question, 0.9x + 9 = (225x/200)

180x + 1800 = 225x

x = Rs. 40

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7. A shopkeeper sold some articles at Rs.35 per article and earned a profit of 40%. At what price each article should have been sold so that 60% profit was earned?

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Correct Ans:40

Explanation:

SP - Selling Price

CP - Cost Price

SP = 140% of CP

CP = 35 * (100/140) = 25

Then, 60% of CP = 2.5 * 6 = 15

To set a profit of 60% the SP = 25 + 15 = 40.

CP - Cost Price

SP = 140% of CP

CP = 35 * (100/140) = 25

Then, 60% of CP = 2.5 * 6 = 15

To set a profit of 60% the SP = 25 + 15 = 40.

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8. A, B and C invested in the ratio 5:6:8 respectively. If C invested for "œx" month and A and B invested for one year. At the end of the year C"™s profit is Rs. 3200 and difference between the profit of A and B is Rs. 600 then what is the value of "œx"?

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Correct Ans:8 months

Explanation:

---> Let A, B & C invested in the ratio of 5a,6a & 8a respectively and the total profit be P.

---> Their investment period is 12, 12 & x months respectively.

---> Hence, the total investment is (5a*12)+(6a*12)+(8a*x)

---> The difference in the profits of A & B is Rs 600.

---> [(6a*12) - (5a*12) / (6a*12) + (5a*12) + (8a*x)]P = 600

---> [12 a/132 a + 8a*x] P = 600

---> Profit earned by C is Rs 3200.

---> [(8a*x) / (6a*12) + (5a*12) + (8a*x) ] P = 3200

---> [(8a*x)/ 132 a + 8a*x] P = 3200

---> By dividing the two equations obtained, we will get:

---> (8x/12) = (3200/600)

---> x =

---> Their investment period is 12, 12 & x months respectively.

---> Hence, the total investment is (5a*12)+(6a*12)+(8a*x)

---> The difference in the profits of A & B is Rs 600.

---> [(6a*12) - (5a*12) / (6a*12) + (5a*12) + (8a*x)]P = 600

---> [12 a/132 a + 8a*x] P = 600

---> Profit earned by C is Rs 3200.

---> [(8a*x) / (6a*12) + (5a*12) + (8a*x) ] P = 3200

---> [(8a*x)/ 132 a + 8a*x] P = 3200

---> By dividing the two equations obtained, we will get:

---> (8x/12) = (3200/600)

---> x =

**8 months**
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9. If the ratio between the cost price and marked price of an article is 2:3. If the selling price of that article is Rs 1920 and the shopkeeper gave two successive discounts of 20% on the marked price. Find the loss during this transaction?

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Correct Ans:80 Rs

Explanation:

----> The ratio between the cost price and marked price of an article is = 2:3

----> Let the cost price = 2x & marked price = 3x

----> Two consecutive discounts of 20% are given.

----> So, one cummulative discount for two discounts of 20%

----> 20 % + 20 % - (20 * 20/100) % = 36 %

----> Selling price = 1920 Rs

----> Hence,

----> 3x*(64/100) = 1920

----> x = 1000

----> So, Cost price = 2000 Rs & marked price = 3000 Rs

----> Loss = (Selling price - Cost price) = 1920 - 2000 =

----> Let the cost price = 2x & marked price = 3x

----> Two consecutive discounts of 20% are given.

----> So, one cummulative discount for two discounts of 20%

----> 20 % + 20 % - (20 * 20/100) % = 36 %

----> Selling price = 1920 Rs

----> Hence,

----> 3x*(64/100) = 1920

----> x = 1000

----> So, Cost price = 2000 Rs & marked price = 3000 Rs

----> Loss = (Selling price - Cost price) = 1920 - 2000 =

**80 Rs**
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10. 40 % of goods are sold at 10 % loss while the remaining is sold at 20 % profit. If there is total profit of Rs. 640, then the worth of goods sold is?

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Correct Ans:Rs. 8000

Explanation:

Given,

(120 - x)/(x - 90) = (2/3)

360 - 3x = 2x - 180

540 = 5x

x = 540/5 = 108

Overall profit % = 8 %

(8/100) * Cost price = 640

Cost price = (640 * 100)/8 = Rs. 8000

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11. The marked price of a doll is 45% above its manufacturing cost. The doll is sold through a retailer, who earns 10% profit on his purchase price. The retailer gives 20% discount on marked price. What is the approximate profit percentage for the doll manufacturer who sells his doll to the retailer?

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Correct Ans:5%

Explanation:

Let the manufacturing cost = 100

Marked price of the doll = 145% of 100 = 145

The retailer gives 20% discount on marked price,

Buyer Price = 80% of 145 = 116

Manufacturer makes x rupees profit, and then retailer makes 10% profit.

Hence, 110% of (100 + x) = 116

110 (100 + x) = 11600

11000 + 110x = 11600

110x = 600

x = 60/11 = 5.45%.

Hence, Manufacturer profit = 5.45%

= 5% (approx)

Marked price of the doll = 145% of 100 = 145

The retailer gives 20% discount on marked price,

Buyer Price = 80% of 145 = 116

Manufacturer makes x rupees profit, and then retailer makes 10% profit.

Hence, 110% of (100 + x) = 116

110 (100 + x) = 11600

11000 + 110x = 11600

110x = 600

x = 60/11 = 5.45%.

Hence, Manufacturer profit = 5.45%

= 5% (approx)

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12. A man sold an item for Rs. 2000 and incurred a loss. Had he sold the item for Rs. 3600, his gain would have been equal to three times of the amount of loss that he incurred. At what price should he sell the article to gain 20 %?

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Correct Ans:Rs. 2880

Explanation:

Loss = C.P - 2000

Profit = 3600 - C.P

Profit = 3*Loss

3600 - C.P = 3 * [C.P - 2000]

3600 - C.P = 3C.P - 6000

9600 = 4C.P

C.P = 9600/4 = Rs. 2400

SP = 2400 * (120/100) = Rs. 2880

Profit = 3600 - C.P

Profit = 3*Loss

3600 - C.P = 3 * [C.P - 2000]

3600 - C.P = 3C.P - 6000

9600 = 4C.P

C.P = 9600/4 = Rs. 2400

SP = 2400 * (120/100) = Rs. 2880

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13. A man buys a new mobile for Rs. 11000. After using it for an year he sell it at a loss of 15%. Then again he buys a new mobile at a price 15% higher than the previous one. He uses the new mobile for one year and sell it at a loss of 20% then find his average loss per year during this period?

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Correct Ans:2090

Explanation:

Loss in first year = 15% 0f 11000

= 1650

Cost of mobile in second year 115% of 11000

= 11000 + 1650

= 12650

Loss in second year = 20% of 12650

= 2530

Total loss = 1650 +2530

= 4180

Average loss = 4180/2 = 2090

= 1650

Cost of mobile in second year 115% of 11000

= 11000 + 1650

= 12650

Loss in second year = 20% of 12650

= 2530

Total loss = 1650 +2530

= 4180

Average loss = 4180/2 = 2090

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14. I bought 3 apple and 5 banana at Rs. 67. After eating 1 apple, I sold the remaining fruits to Raja at Rs. 67. Raja, after eating 1 apple and 1 banana, sold the remaining fruits to Sam at Rs. 67. If Raja had an effective profit of 35% in this manner, how much percentage profit did I earn?

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Correct Ans:20%

Explanation:

Number of apple = a

Number of banana = b

Rajaâ€™s profit = (1a and 1b) on (2a and 5b) = 35%

a + b = 35/100 * (2a + 5b)

20a + 20b = 14a + 35b

solving we get = 6a = 15b

a/b = 5/2

So, my effective profit = 1a on (3a and 5b)

= 1a / 3a + 5(2/5) a

= 1a / 5a * 100 = 20%

Hence, my effective profit for the whole transaction is = 20%.

Number of banana = b

Rajaâ€™s profit = (1a and 1b) on (2a and 5b) = 35%

a + b = 35/100 * (2a + 5b)

20a + 20b = 14a + 35b

solving we get = 6a = 15b

a/b = 5/2

So, my effective profit = 1a on (3a and 5b)

= 1a / 3a + 5(2/5) a

= 1a / 5a * 100 = 20%

Hence, my effective profit for the whole transaction is = 20%.

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15. The selling price of Watch is Rs.920. The ratio of the marked price to cost price of the watch is 23: 20 and the ratio of the marked price to cost price of the Pen is 11: 10. If the ratio of the cost price of the watch to Pen is 2: 1 and the discount offers for watch is 20%, then what is the marked price of Pen?

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Correct Ans:Rs. 550

Explanation:

CP of Watch = 2x

CP of Pen = x

SP of Watch = 920

Marked price of Watch = 920/80 * 100 = 1150

CP of Watch = 1150/23 * 20 = Rs.1000

CP of Pen = 1000/2 = 500

Marked price of Pen = 500/10 * 11

= Rs. 550

CP of Pen = x

SP of Watch = 920

Marked price of Watch = 920/80 * 100 = 1150

CP of Watch = 1150/23 * 20 = Rs.1000

CP of Pen = 1000/2 = 500

Marked price of Pen = 500/10 * 11

= Rs. 550

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16. A person purchased a cupboard and a cot for Rs. 19,200. He sold the cupboard at a profit of 23% and the cot at a profit of 39%. If his total profit was 27.833%; find the cost price of the cupboard?

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Correct Ans:Rs. 13400

Explanation:

Let the CP of cupboard and cot be x and y respectively

Given, x + y = 19200 ---- (i)

Profit on selling the cupboard = 23%

SP of cupboard = 1.23x

Profit on selling the cot = 39%.

SP of cot = 1.39y

Total SP = 1.23x + 1.39y

Profit = SP - CP

Profit = 1.23x + 1.39y - 19200

But, given his total profit was 27.833%

27.833% of 19200 = 5343.94

Profit = 1.23x + 1.39y - 19200 = 5344

1.23x + 1.39y = 24544 -------- (ii)

Multiply 1.23 in equ (i) we get

1.23x + 1.23y = 23616 ------ (iii)

On solving we get, x = 13400 and y = 5800

Therefore, the cost price of the cupboard = 13400

Given, x + y = 19200 ---- (i)

Profit on selling the cupboard = 23%

SP of cupboard = 1.23x

Profit on selling the cot = 39%.

SP of cot = 1.39y

Total SP = 1.23x + 1.39y

Profit = SP - CP

Profit = 1.23x + 1.39y - 19200

But, given his total profit was 27.833%

27.833% of 19200 = 5343.94

Profit = 1.23x + 1.39y - 19200 = 5344

1.23x + 1.39y = 24544 -------- (ii)

Multiply 1.23 in equ (i) we get

1.23x + 1.23y = 23616 ------ (iii)

On solving we get, x = 13400 and y = 5800

Therefore, the cost price of the cupboard = 13400

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17. A sells to B goods at five-thirds the rate of profit at which B has decided to sell it to C. C, on other hand, sells it to D at one-third the rate of profit at which B sold it to C. If D gives Rs. 2145 to C at 10% profit, how much did A buy it for ?

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Correct Ans:Rs. 1000

Explanation:

C's profit % = 10%

B's profit % = 10*3 = 30%

A's profit % = 30 * 5/3 = 50%

CP of C = 2145/110 * 100 = Rs. 1950

CP of B = 1950/130 * 100 = Rs. 1500

CP of A = 1500/150 * 100 = Rs. 1000

Required Answer,

CP of A = Rs. 1000

B's profit % = 10*3 = 30%

A's profit % = 30 * 5/3 = 50%

CP of C = 2145/110 * 100 = Rs. 1950

CP of B = 1950/130 * 100 = Rs. 1500

CP of A = 1500/150 * 100 = Rs. 1000

Required Answer,

CP of A = Rs. 1000

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18. A man sells calculator at the rate of â‚¹ 250 each. The cost price of each calculator is 86% of the selling price of that calculator. What amount of profit will be earned in 19 days if he sells seven calculators per day?

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Correct Ans:4655

Explanation:

Selling price of one calculator = â‚¹ 250

Cost price of one calculator = 250 * 86/100 = â‚¹ 215

Profit = 250 - 215 = â‚¹ 35

He earns â‚¹ 35 profit on one calculator.

Hence, total profit earned in 19 days if he sold 7 calculators each day

= 19*7*35 = â‚¹ 4655

Cost price of one calculator = 250 * 86/100 = â‚¹ 215

Profit = 250 - 215 = â‚¹ 35

He earns â‚¹ 35 profit on one calculator.

Hence, total profit earned in 19 days if he sold 7 calculators each day

= 19*7*35 = â‚¹ 4655

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19. A person sold an electronic watch at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then the new selling price will be

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Correct Ans:Rs. 132

Explanation:

Let the CP of watch be Rs. X.

Given that CP is same as profit %.

Profit % = X%

SP of watch = Rs. 96

WKT, SP = [(100 + Gain)/100]*CP

[(100 + X)/100]*X = 96

X

X

X(X + 160) - 60(X + 160) = 0

(X - 60) (X + 160) = 0

X = 60

So, CP of watch = Rs. 60

New profit% = 120%

New SP = 60*[(100 + 120)/100]

= 60*(220/100)

= Rs. 132.

Given that CP is same as profit %.

Profit % = X%

SP of watch = Rs. 96

WKT, SP = [(100 + Gain)/100]*CP

[(100 + X)/100]*X = 96

X

^{2}+ 100X - 9600 = 0X

^{2}+ 160X - 60X - 9600 = 0X(X + 160) - 60(X + 160) = 0

(X - 60) (X + 160) = 0

X = 60

So, CP of watch = Rs. 60

New profit% = 120%

New SP = 60*[(100 + 120)/100]

= 60*(220/100)

= Rs. 132.

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20. If the profit on selling an article for Rs. 579 is the same as the loss on selling it for Rs. 337, then find the profit percent if its selling price is Rs. 687.

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Correct Ans:50%

Explanation:

Let the profit or loss of the article be 'x'.

SP of article = Rs. 579

As per the question,

579 - x = 337 + x

2x = 242

x = 121

WKT, CP = SP - Profit

CP = 579 - 121 = Rs. 458

If the selling price is Rs. 687,

New profit = New SP - CP

= 687 - 458

= Rs. 229

Required profit % = (Profit/CP)*100

= (229/458)*100

= 50%.

SP of article = Rs. 579

As per the question,

579 - x = 337 + x

2x = 242

x = 121

WKT, CP = SP - Profit

CP = 579 - 121 = Rs. 458

If the selling price is Rs. 687,

New profit = New SP - CP

= 687 - 458

= Rs. 229

Required profit % = (Profit/CP)*100

= (229/458)*100

= 50%.

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