Question

Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2: 1: 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:

• A. 131
• B. 159
• C. 123
• D. 142

Answer 1

Answer:

C. 123

Let the price of the third variety be ₹(x) per kg.

Given ratio of quantities = (2 : 1 : 5)

Use weighted average

$\frac{2 \cdot 43 + 1 \cdot 67 + 5x}{2 + 1 + 5} = 96$

Simplify

$\frac{86 + 67 + 5x}{8} = 96$

$\frac{153 + 5x}{8} = 96$

Solve

$153 + 5x = 768$
$5x = 615$
$x = 123$

Final Answer: ₹123 per kg