Question

A solution of sugar syrup has 15% sugar, How many litres of water must be added to 20 litres of the sugar solution to make a solution of 10% sugar?

• A. 10
• B. 5
• C. 15
• D. 20
• E. None of these

Answer 1

The correct option is A 10

Let $x$ litres of water be added to the sugar solution
We know that initially out of 20 litres sugar solution, 15% i.e. 3 litres was sugar and the rest was water.
Now the volume of the total solution = (20+x) litres
According to given,
$\frac{10}{100}\times (20+x)=3$
$\Rightarrow x=10$