A dealer buys dry fruits at the rate of ` 100, ` 80 and ` 60 per kg. He bought…
20232025
A dealer buys dry fruits at the rate of ` 100, ` 80 and ` 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain or no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?
Answer: B. 40% — Answer: 40% Solution: Assume quantities are 12 kg, 15 kg and 20 kg with costs 100, 80 and 60 per kg respectively. Total cost price = 12×100 + 15×80 + 20×60 =…
- A.
30%
- B.
40%
- C.
20%
- D.
50%
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Correct answer: B
Answer: 40%
Solution:
Assume quantities are 12 kg, 15 kg and 20 kg with costs 100, 80 and 60 per kg respectively.
Total cost price = 12×100 + 15×80 + 20×60 = 1200 + 1200 + 1200 = 3600.
Cost of the first two varieties = 1200 + 1200 = 2400. Selling them at 20% profit gives selling price = 1.2 × 2400 = 2880.
To have no overall gain or loss, total selling price must equal total cost price (3600). Therefore the selling price of the third variety = 3600 − 2880 = 720.
Cost price of the third variety = 20 × 60 = 1200. Loss on the third = 1200 − 720 = 480.
Percentage loss on the third = (480 / 1200) × 100% = 40%.
Hence the dealer suffered a 40% loss on the third variety.