Profit and Loss problems
- 1. An item costing Rs. 200 is being sold at 10% loss. If the price is further reduced by 5%, the selling price will be?
Options- A. Rs. 179
- B. Rs. 175
- C. Rs. 171
- D. Rs. 170 Discuss
Correct Answer: Rs. 171
Explanation:
S.P. = 90% of Rs. 200 = Rs. 180
Required S.P. = (95% of Rs. 180) Rs. 171
- 2. If books bought at price ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling 8 books?
Options- A. Rs. 400
- B. Rs. 600
- C. Cannot be determined
- D. None of these Discuss
Correct Answer: None of these
Explanation:
? Profit is maximum when C.P. is minimum and S.P. is maximum
Thus, C.P. = Rs. (200 x 8) = Rs. 1600
S.P. = Rs. (425 x 8) = Rs. 3400
? Gain = Rs. 1800
- 3. By selling 8 dozen of pencils, a shopkeeper gains the selling price of a 1 dozen pencils. His gain percent is?
Options- A. 12.5%
- B. 87.5%
- C. 142/7
- D. None of these Discuss
Correct Answer: 142/7
Explanation:
? Gain = (S.P. of 8 dozen ) - (C.P. of 8 dozen )
? (S.P. of 1 dozen) = (S.P. of 8 dozen ) - (C.P. of 8 dozen)
? (C.P. of 8 dozen ) = (S.P. of 7 dozen)
Let C.P. of each dozen be Re. 1
? C.P. of 7 dozen = Rs. 7
? S.P. of 7 dozen = Rs. 8
? Gain % = (1 / 7 x 100)% = 142/7 %
- 4. By selling 36 oranges, a vender loses the selling price of 4 orange. His loss per cent is?
Options- A. 121/2%
- B. 111/9%
- C. 10%
- D. None of these Discuss
Correct Answer: 10%
Explanation:
? Loss = C.P. of 36 oranges - S.P. of 36 oranges
? S.P. of 4 = C.P. of 36 - S.P.of 36
? S.P.of 40 = C.P. of 36
Let C.P. of each oranges = Re. 1
? C.P.of 40 = Rs. 40
? S.P. of 40 = Rs. 36
? Loss = (4 / 40 ) x 100 % = 10%
- 5. While selling a watch a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. What is the marked price of the watch?
Options- A. Rs. 697.50
- B. Rs. 712.50
- C. Rs. 787.50
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Let the marked price be Rs. x
Then, (7% of x ) - 15 = 5% of x
? 7x / 100 - 5x / 100 = 15
? x = 750
- 6. A sells a horse to B for Rs. 4860, thereby losing 19 percent, B sells it to C at a price which would have given A, 17 percent profit. Find B's gain?
Options- A. Rs. 2160
- B. Rs. 2610
- C. Rs. 1260
- D. Rs. 2260 Discuss
Correct Answer: Rs. 2160
Explanation:
Cost of the horse paid by A = (4860 x 100) / 81 = Rs. 6000
Cost of the horse paid by C = (6000 x 117) / 100 = Rs. 7020
Gain of B = Rs. 7020 - Rs. 4860 = Rs. 2160
- 7. The cost price of an article, which on being sold at a gain of 12% yields Rs. 6 more then when it is sold at a loss of 12% is?
Options- A. Rs. 30
- B. Rs. 25
- C. Rs. 20
- D. Rs. 24 Discuss
Correct Answer: Rs. 25
Explanation:
Let the C.P. be Rs. x
Then, S.P. when gain is 12% = 12x / 100
? 112x / 100 - 88x / 100 = 6
? 24x / 100 = 6
? x = 600 / 24 = Rs. 25
- 8. When the price of pressure cooker was increased by 15%, its sale fell down by 15%. The effect one the money receipt was?
Options- A. No effect
- B. 15% decrease
- C. 7.5% increase
- D. 2.25% decrease Discuss
Correct Answer: 2.25% decrease
Explanation:
Let the original cost of each cooker be Re. 1 and let the number sold originally be 100.
Total sale proceeds = Rs. (100 x 1) = Rs. 100
New rate = (115% of Re. 1 ) = Rs . 1.15
Number sold now = 85
? Sale proceed now = Rs. (1.15 x 85) = Rs. 97.75
So, there is a decrease of 2.25% in the money receipt.
- 9. Subhash purchased a tape recorder at 9 / 10 th of its selling price and sold it at 8% more than its selling prices. His gain is?
Options- A. 9%
- B. 10%
- C. 180%
- D. 20% Discuss
Correct Answer: 20%
Explanation:
Let the S.P. be Rs. P
Then, C.P. paid by subhash = Rs. (9 x P)/10
S.P. received by subhash = (108% of Rs. P) = Rs. (27 x P) / 25
? Gain = Rs.(27 x P) / 25 - (9 x P) / 10 = Rs. (9 x P) / 50
Hence, Gain% = (9P / 50) x (10P / 9) x 100 % = 20%
- 10. By selling 100 bananas, fruit seller gains the selling price of 20 bananas. His gain per cent is?
Options- A. 10%
- B. 15%
- C. 20%
- D. 25% Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 25%
Explanation:
? Gain = (S.P. of 100 bananas) - (C.P. of 100 bananas)
? (S.P.of 20) = (S.P of 100) - (C.P. of 100)
? S.P.of 80 = C.P. of 100
Let C.P. of each banana = Re. 1
C.P. of 80 banana = Rs. 80
S.P. of 80 banana = Rs. 100
? Gain % = (20 / 80) x 100 % = 25%
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