A dealer buys dry fruit at the rate of Rs 100, Rs 80 and Rs 60 per kg. He bought them in theratio 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 no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?

Let the dealer bought 12, 15 and 20 kg of each type respectively.

Total cost price = $$(12\times100)+(15\times80)+(20\times60)=1200+1200+1200=Rs.$$ $$3600$$

Also, total selling price (since there is no profit no gain) = Rs. 3600

Now, Selling price of first two types after 20% profit = $$\frac{120}{100}\times2400=Rs.$$ $$2880$$

=> Selling price of 3rd type = $$3600-2880=Rs.$$ $$720$$

$$\therefore$$ Loss % = $$\frac{(1200-720)}{1200}\times100=40\%$$

=> Ans - (A)