Question

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 2: 3: 1 respectively. If he sells all the mangoes at 3 for ₹7, what is his approximate gain or loss percentage?

• A. Profit of 4.76%
• B. Loss of 4.76%
• C. Loss of 6%
• D. Profit of 6%

Answer 1

Answer:

B. Loss of 4.76%

Let’s solve step by step using unit cost.

Step 1: Cost price per mango

• 1st variety: 4 for ₹10 ⇒ ₹10/4 = ₹2.50 each

• 2nd variety: 5 for ₹12 ⇒ ₹12/5 = ₹2.40 each

• 3rd variety: 2 for ₹5 ⇒ ₹5/2 = ₹2.50 each

Step 2: Mixing ratio = 2 : 3 : 1

Assume total mangoes = 6 units:

• 1st = 2 units

• 2nd = 3 units

• 3rd = 1 unit

Step 3: Total cost price

$CP = (2 \times 2.5) + (3 \times 2.4) + (1 \times 2.5)$
$= 5 + 7.2 + 2.5 = 14.7$

So CP = ₹14.7 for 6 mangoes

Step 4: Selling price

Selling rate = 3 for ₹7

So for 6 mangoes:

$SP = \frac{6}{3} \times 7 = 14$

Step 5: Profit/Loss

Loss = 14.7 - 14 = 0.7

Step 6: Loss percentage

$\frac{0.7}{14.7} \times 100 \approx 4.76\%$