Symbiosis National Aptitude Test SNAP 2012 Paper

Question : 7 of 150

Marks: +1, -0

A dealer buys dry fruit at the rate of ₹ 100, ₹ 80 and Rs. 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 no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity ?

Validate

Solution:

Let the quantity bought be 12x, 15x and 20x kg respectively.
Total cost price = 100 × 12x + 80 × 15x + 60 × 20x = 1200x + 1200x + 1200x = 3600x
Selling price of first two quantities at profit of 20%
=

{120}/{100} × 2400x

= 2880x
Total selling price = 3600x (No profit no loss)
∴ Selling price of third quantity = 3600x – 2880x = 720x
∴ Loss percentage =

{1200x-720x}/{1200x} × 100

= 40%

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