Question

Two types of sugar, one costing ₹45/kg and another costing ₹60/kg, are mixed with a third variety in the ratio 1:2:3. If the mixture is worth ₹55/kg, what is the price of the third variety of sugar per kg?

• A. ₹55.00
• B. ₹57..50
• C. ₹60.00
• D. ₹62.50

Answer 1

Answer:

A. ₹55.00

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

The three types are mixed in the ratio 1 : 2 : 3, so total parts = 6.

Apply weighted average

$\frac{1 \cdot 45 + 2 \cdot 60 + 3 \cdot x}{6} = 55$

Simplify

45 + 120 + 3x = 165 + 3x

So,
$\frac{165 + 3x}{6} = 55$

Solve

165 + 3x = 330
3x = 165
x = 55