Question

A milkman purchases milk at Rs 20/litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of Rs 20/litre, he earns a profit of 40%. The amount of mixture he had with him to sell was:
10 litres
12 litres
14 litres
4 litres

Answer 1

4litres is the answer

Answer 2

The amount of mixture he had with him to sell was 14 litres

Solution:

Given that,

A milkman purchases milk at Rs 20/litre and mixes 4 litres of water in it

This is a mixture and alligation problem

The figure is attached below

To earn a profit of 40% at Rs 20/litre:

100 % + 40 % = 140 % = 1.4

$cost\ price = \frac{20}{1.4} = \frac{100}{7}$

From attached figure,

$Milk : water = \frac{100}{7} : \frac{40}{7}\\\\Milk : water = 10 : 4$

Milk : water = 5 : 2

So, in 4 litres of water, 10 litres of milk would be required

Resultant mixture =  4 + 10 = 14 litres

Thus the amount of mixture he had with him to sell was 14 litres

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