Arithmetic

Mixture & Alligation

Medium

applied

In what ratio must pulses at ₹72 per kg be mixed with pulses ₹90 per kg so that the mixture be worth ₹80 per kg?

5:6

5:4

4:5

5:8

✅ Correct Option: 2

There are two types of pulses: one at ₹72 per kg and another at ₹90 per kg. The goal is to find the ratio in which they must be mixed to obtain a mixture worth ₹80 per kg.

Using the Alligation Rule:

Cheaper pulses = ₹72 per kg

Expensive pulses = ₹90 per kg

Mixture price = ₹80 per kg

Finding the differences from the mixture price:

Expensive pulse above mixture price:

$90 - 80 = 10$

Cheap pulse below mixture price:

$80 - 72 = 8$

The ratio of cheaper to expensive pulses is the reverse of these differences:

Ratio = $10 : 8$

Simplifying by dividing both by 2:

Ratio = $5 : 4$

Therefore, pulses at ₹72 per kg must be mixed with pulses at ₹90 per kg in the ratio $5:4$ .

2025: 3 June Shift 2

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2026: 22 May Shift 2

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2025: 21 May Shift 2

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2026: 31 May Shift 2

In what ratio must a grocer mix two varieties of sugar A and B worth ₹ 40 per kg and ₹ 50 per kg respectively, so that by selling that mixture at ₹ 46.20 per kg, he may gain 10%?

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Solution

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