20 litres of a mixture contains milk and water in the ratio 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 : 1 is-
A. 7 litres
B. 4 litres
C. 5 litres
D. 6 litres
Answer: Option C
Solution(By Examveda Team)
In 20 litres of mixtureQuantity of milk
$$ \Rightarrow \frac{3}{4} \times 20 = 15{\text{ litres}}$$
Quantity of water
$$ \Rightarrow \frac{1}{4} \times 20 = 5{\text{ litres}}$$
Let the quantity of milk added be x litres.
According to the question,
$$\eqalign{ & \Rightarrow \frac{{15 + x}}{5} = \frac{4}{1} \cr & \Rightarrow 15 + x = 4 \times 5 \cr & \Rightarrow x = 20 - 15 \cr & \Rightarrow x = 5{\text{ litres}} \cr} $$
Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
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