The ratio of milk and water in 70 $\mathrm{kg}$ mixture is $3: 2$. If $14 \mathrm{~kg}$ water is mixed with the mixture, then find the ratio of milk and water.
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The ratio of milk and water in 70 $\mathrm{kg}$ mixture is $3: 2$. If $14 \mathrm{~kg}$ water is mixed with the mixture, then find the ratio of milk and water.

(a) $42: 28$

(b) $28: 14$

(c) $1: 1$

(d) None of these
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Solution:

 The amount of milk in the ratio $=\frac{70 \times 3}{5}=42 \mathrm{~kg}$

$\therefore \quad$ The amount of water $=70-42=28 \mathrm{~kg}$

The new amount of water

$=28+14=42 \mathrm{~kg}$

$\therefore \quad$ Required ratio

$=\frac{42}{42}=\frac{1}{1}=1: 1$; Ans.

$\therefore \quad$ Correct option is $(\mathrm{c})$

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