A fruit seller buys three varieties of mangoes. The first variety is bought at 4 for ₹10, the second at 5 for ₹12, and the third at 2 for ₹5. He mixes them in the ratio of 2 : 3 : 1 respectively. If he sells all the mangoes at 3 for ₹7, what is his approximate gain or loss percentage?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Loss of 4.76%.
First type: 4 for ₹10 → cost per mango = 10/4 = 2.5
Second type: 5 for ₹12 → cost per mango = 12/5 = 2.4
Third type: 2 for ₹5 → cost per mango = 5/2 = 2.5
Ratio = 2 : 3 : 1
Let mango counts be 2x, 3x, 1x.
Total mangoes = 2x + 3x + 1x = 6x
Total cost price CP = (2x × 2.5) + (3x × 2.4) + (1x × 2.5)
= 5x + 7.2x + 2.5x = 14.7x
Selling price: 3 mangoes for ₹7 → SP per mango = 7/3
Total SP = 6x × (7/3) = 14x
Loss = CP − SP = 14.7x − 14x = 0.7x (loss)
Loss percentage = (0.7x / 14.7x) × 100 ≈ 4.7619%