Question

A vendor mixes two types of coffee beans - one costing ₹120 per kg and the other costing ₹180 per kg, in the ratio 1 : 2. If he sells the mixed variety at ₹152 per kg, find his gain or loss percent.

• A. 5% gain
• B. 8% loss
• C. 5% loss
• D. 8% gain

Answer 1

Answer:

C. 5% loss

First, find the cost price (CP) of the mixture using the weighted average.

Ratio = (1:2)

$\text{CP of mixture}=\frac{1\times120 + 2\times180}{1+2}$

$=\frac{120+360}{3}$
$=\frac{480}{3}$
$=160$

So, the cost price of the mixture is ₹160 per kg.

Selling price (SP) = ₹152 per kg

Loss per kg:

$160 - 152 = 8$

Loss percent:

$\frac{8}{160}\times100 = 5\%$

Answer: 5% loss