Question:
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?
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?
Updated On: Sep 25, 2024
- 40%
- 20%
- 30%
- 50%
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The Correct Option is A
Solution and Explanation
Assume the quantity bought by him be 12x,15x and 20x.
The Selling Price of the first two be a, b and that of third one 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 (Here CP is Cost Price)
Loss Percentage = \(\frac{CP-SP}{CP}×100\) (Here CP is Cost Price and SP is Selling Price)
Loss Percentage = 1200X-720X/1200X = 480/1200
Loss Percentage = 40%
The correct option is (A)
The Selling Price of the first two be a, b and that of third one 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 (Here CP is Cost Price)
Loss Percentage = \(\frac{CP-SP}{CP}×100\) (Here CP is Cost Price and SP is Selling Price)
Loss Percentage = 1200X-720X/1200X = 480/1200
Loss Percentage = 40%
The correct option is (A)
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