Question 67

A dealer buys dry fruit at the rate of Rs. 100, Rs 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 ?

Solution

Let the quantity bought by him be 12x,15x and 20x.

So,Selling Price of the first two be a,b and that of third be c.

a + b = 120% of (100*12x + 80*15x)

a + b = 2880x

a + b + c = 100*12x + 80*15x + 60*20x = 3600x

c = 3600x - 2880x

c = 720x

and CP = 20x*60 = 1200x

Loss% = CP-SP/ CP *100

L % = 1200X-720X/1200X = 480/1200

LOSS % = 40%

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