Profit and Loss problems
- 1. A man sold two books at Rs. 24 each, on one he got a profit of 20% and on other, he lost 20% . On the whole, he?
Options- A. loss Rs. 1
- B. gained Rs. 1
- C. lost Rs. 2
- D. gained Rs. 2 Discuss
Correct Answer: lost Rs. 2
Explanation:
SP of first book = Rs. 24, gain = 20%
CP of first book = (100/120) x 24 = Rs. 20
SP of second book = Rs. 24, loss = 20%
CP of second book = (100/80) x 24 = Rs. 30
Total CP = (20 + 30) = 50
Total SP = (24 x 2) = Rs. 48
Loss = (50 - 48) = Rs. 2
So, on the whole, there is a loss of Rs. 2
- 2. A man purchases two clocks A and B at a total cost of Rs. 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing price of A and B, respectively?
Options- A. Rs. 225, Rs 425
- B. Rs. 250, Rs. 400
- C. Rs. 275, Rs. 375
- D. Rs. 300, Rs. 350 Discuss
Correct Answer: Rs. 250, Rs. 400
Explanation:
Let the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
? 6N/5 = {3 x (650 - N)}/4
? 8N = 5 x (650 - N)
? 8N + 5N = 5 x 650
? 13N = 5 x 650
? N = (5 x 650)/13 = 250
? Cost price of watch A = Rs. 250
and cost price of watch B = (650 - 250) = Rs. 400
- 3. A property dealer sells a house for Rs. 630000 and in the bargain makes a profit of 5% . Had he sold it for Rs. 500000, then what percentage of loss or gain he would have made?
Options- A. 15% loss
- B. 15% gain
- C. 162/3% gain
- D. 162/3% loss Discuss
Correct Answer: 162/3% loss
Explanation:
SP = Rs. 63000, Profit = 5%
? CP =Rs. (100/105) x 63000 = Rs. 600000
If SP would have been Rs. 500000, then there would have been a loss of 162/3% .
- 4. If a person makes a profit of 10% on 1/4 th of the quantity sold and a loss of 20% on the rest, then what is his average percent profit or loss?
Options- A. 12.5% Profit
- B. 11.25% loss
- C. 11.75% Profit
- D. 12.5% loss Discuss
Correct Answer: 12.5% loss
Explanation:
Suppose CP = Rs. 100
? Gain on Rs. 25 = Rs. 2.50
? SP = Rs. 27.50
Loss on Rs. 75 = Rs. 15
? SP = Rs. 60
? Total SP = 60 + 27.50 = Rs. 87.50
? Loss = Rs. 12.50 i.e. 12.5% loss.
- 5. A man sells 16 mangoes at a cost price of 20 mangoes, then percentage of his gain is?
Options- A. 18%
- B. 20%
- C. 25%
- D. 16% Discuss
Correct Answer: 25%
Explanation:
Let the cost price of 20 mangoes = Rs. N
CP of 1 mango = Rs. N/20
SP of 1 mango = Rs. N/16
Gain = SP - CP = N/16 - N/20 = Rs. N/80
Gain percentage = {(N/80) / (N/20)} x 100 % = 25%
- 6. If the cost price of 12 pencils is equal to sale price of 10 pencils, then find the gain or loss as a percentage of the sell price?
Options- A. 20% gain
- B. 10% gain
- C. 20% gain
- D. 15% loss Discuss
Correct Answer: 20% gain
Explanation:
CP of 12 pencils = Rs. 12
? SP of 10 pencils = Rs.12
? SP of 12 Pencils = (12/10) x 12 = Rs.14.40
? Gain per cent = {(14.40 - 12)/12} x 100 = 20%
- 7. Ram bought 800 eggs at Rs. 3.75 each per dozen. He sold 450 of them at 2 for Rs. 1 and remaining at 5 for Rs. 2. His gain % is?
Options- A. 28%
- B. 46%
- C. 36%
- D. 14% Discuss
Correct Answer: 46%
Explanation:
Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
Gain = 365 - 250 = Rs. 115
Gain percentage = (115/250) x 100% = 46%
- 8. A man buys two hens for Rs. 500 each. He sod one for 15% profit and other for 5% loss. Find his profit percentage?
Options- A. 5%
- B. 10%
- C. 15%
- D. 12% Discuss
Correct Answer: 5%
Explanation:
SP. of first hen = (115/100) x 500 = Rs. 575
SP of second hen = (95/100) x 500 = Rs. 475
Total SP = 575 + 475 = Rs. 1050
Total CP = 2 x 500 = Rs. 1000
Gain = SP - CP = (1050 - 1000) = Rs. 50
Gain percentage = (50/1000) x 100 = 5%
- 9. A person purchases 100 pens at a discount of 10% . The net amount of money spent by the person to purchase the pens is ? 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25%?
Options- A. ?802.50
- B. ? 811.25
- C. ? 862.50
- D. ? 875 Discuss
Correct Answer: ? 862.50
Explanation:
Total cost price = 600 + 15% of 600
= 600 + (600 x 15)/100 = ?690
Profit = 25%
SP = CP(100 + Profit/100)
= 690{(100 + 25)/100} = (690 x 125) / 100
= ? 862.50
- 10. If 7 kg of tea of price ? 72 per kg is blended with 33 kg of tea of ? 87 per kg and 35 kg of ? 85 per kg and the mixture is sold at 15% profit, then what is the selling price of the mixture?
Options- A. ? 80.66 per kg
- B. ? 102.33 per kg
- C. ? 91.22 per kg
- D. ?. 97.37 per kg Discuss
Correct Answer: ?. 97.37 per kg
Explanation:
CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ? 84.66
Profit = 15%
? SP per kg = ? 84.66 + 15% of ? 84.66
= ? 97.37
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.