A dealer buys three varieties of dry fruits in the ratio 12:15:20 at the rate…
2025
A dealer buys three varieties of dry fruits in the ratio 12:15:20 at the rate of 100 , 80 and 60 per kg respectively . He 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 ?
- A.
20%
- B.
50%
- C.
30%
- D.
40%
Attempted by 8 students.
Show answer & explanation
Correct answer: D
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.