How many kilograms of sugar costing Rs 50 per kg should be mixed with 30 kg of sugar costing Rs 45 per kg so that the mixture is worth Rs 48 per kg?

A50 kg

B48 kg

C45 kg ✓ Correct

D42 kg

Correct answer: (C) 45 kg

Explanation

45 kg of the costlier sugar is needed.

By alligation, cheaper qty : dearer qty = (50 - 48) : (48 - 45).

This ratio = 2 : 3.

The cheaper sugar is 30 kg, matching the 2 parts.

So dearer = 30 x (3/2) = 45 kg.

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