Question

A person buy x apples at ₹ 20 per apple and (x - 1) mangoes at ₹ 15 per mango. If he sells all fruits at rate of ₹ 22 per fruit. If the gain percentage is 25%, then, what is the value of x?

1. 13
2. 12
3. 15
4. 10

Answer 1

Correct Answer - Option 1 : 13

The total cost price of the person = ₹ [20x + (x - 1) × 15] = ₹ [35x - 15]

The total selling price of the person = ₹ [x + x - 1]22 = ₹ (44x – 22)
∴ Gain = SP – CP

⇒ Gain = (44x – 22) – (35x – 15)= (9x – 7)
we know that, Gain Percentage = [Selling Price – Cost Price]/Cost Price × 100

⇒ 25 = [(9x - 7)/(35x - 15)] ×100

⇒ 35x – 15 = 4(9x – 7)

⇒ 35x – 15 = 36x – 28

⇒ 36x – 35x = 28 - 15

⇒ x = 13