A dealer buys dry fruits at the rate of ` 100, ` 80 and ` 60 per kg. He bought…
2023
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?
- A.
30%
- B.
40%
- C.
20%
- D.
50%
Attempted by 27 students.
Show answer & explanation
Correct answer: B
Answer: 40%
Key fact: Since there is no overall gain or loss, total selling price = total cost.
Total cost = (12 × 100) + (15 × 80) + (20 × 60) = 3600.
Cost of first two groups = (12 × 100) + (15 × 80) = 2400.
Selling price received from the first two groups = 2400 × 1.20 = 2880.
Therefore selling price for the third group = total selling price − selling price of first two = 3600 − 2880 = 720.
Cost of the third group = 20 × 60 = 1200.
Loss on the third group = (1200 − 720) = 480.
Loss percentage = (480 / 1200) × 100% = 40%.