Question

In a mixture of 42 litres, the ratio of sugar solution to salt solution is 3:4. Find the amount of sugar solution to be added to convert the ratio to 4 :3.

• A. 10 litres
• B. 7 litres
• C. 14 litres
• D. 20 litres

Answer 1

The correct option is C

14 litres

Number of litres of sugar solution in the mixture = $\frac{3}{3+4}\times 42=\frac{3}{7}\times 42=18$ litres

Thus, the no of litres of salt solution in the mixture = 42-18= 24 litres

Let x litres of sugar solution be added.

Thus, we have $\frac{18+x}{24}=\frac{4}{3}$

$\Rightarrow$ 54 + 3x = 96

$\Rightarrow$ 3x = 42 $\Rightarrow$ x = 14 litres