Question

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 1

Total quantity rate =

(12 * 100 + 15 * 80 + 20 * 60) = 3600

For first 2 quantity, (12 * 100) + (15 * 80) = 2400

But he gets 20% profit = 2400 * 1.2 = 2880

So the third quantity = 3600 – 2880 = 720

Actual third quantity rate = 20 * 60 = 1200

Loss suffered = (1200 - 720) / 1200

= 480/1200 = 40 %