Question

How many approximate kgs of sugar costing 45 per kg must be mixed with 25 kg of sugar costing 732 per kg so that a 15% gain may be obtained by selling the mixture at 43.70 per kg?

• A. 15 kg
• B. 25 kg
• C. 21 kg
• D. 18 kg

Answer 1

Answer:

C. 21 kg

Assuming the question is:

• Sugar costing ₹45/kg is mixed with 25 kg of sugar costing ₹32/kg

• The mixture is sold at ₹43.70/kg with a 15% gain

First find the cost price of the mixture.

If selling price gives (15%) gain:

$\text{CP of mixture}=\frac{43.70}{1.15}=38$

So the mean price of the mixture is ₹38/kg.

Using alligation:

$\text{Ratio of quantities}=(38-32):(45-38)$

$6:7$

Thus,

$\text{Costlier sugar} : \text{Cheaper sugar} = 6:7$

25 kg corresponds to 7 parts.

Required quantity of ₹45 sugar:

$25 \times \frac{6}{7}$

$21.43 \text{ kg}$

Approximately,

$\boxed{21 \text{ kg}}$