Arithmetic

Mixture & Alligation

Medium

applied

Pure milk costs Rs. 75 per litre. A milkman adds water to 28 liters of pure milk and sells the mixture at Rs. 60 per litre. How many liters of water does he add?

6.5

✅ Correct Option: 3

The milkman has 28 liters of pure milk that costs Rs. 75 per liter. Water is free (costs Rs. 0). He adds water to the milk and sells the mixture at Rs. 60 per liter.

Pure milk cost $= 28 \times 75$

Cost $= \text{Rs. } 2,100$

This is the money spent on the milk.

Let $x$ = liters of water added

After adding water:

Total mixture $= 28 + x$ liters

Selling price $= \text{Rs. } 60$ per liter

Total money received $= (28 + x) \times 60$

To recover the cost:

Money received $=$ Money spent

$(28 + x) \times 60 = 2,100$

$28 \times 60 + x \times 60 = 2,100$

$1,680 + 60x = 2,100$

$60x = 2,100 - 1,680$

$60x = 420$

$x = \dfrac{420}{60}$

$x = 7$

Therefore, the milkman adds 7 liters of water.

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