Question

A sugar solution contains $15\text{\%}$ sugar by weight. When the solution is heated, $40\text{\%}$ sugar is left in the solution. The amount of water which has disappeared is

• A. $0.0625g$
• B. $62.5g$
• C. $0.625g$
• D. $6.25g$

Answer 1

The correct option is B $62.5g$

Let the mass of the solution = 100 g
Mass of sugar = 15 g
Mass of water = 100 - 15 = 85 g
On heating some water is disappeared and let the new amount of solution be $X$ g, which contains $40\text{\%}$ sugar equal to $15g$
$x\times \frac{40}{100}=15$
$x=37.5g$
After heating mass of the solution is $37.5g$
Mass of water = mass of solution - mass of sugar = 37.5 - 15 = 22.5 g
Amount of water disappeared on heating = 85 - 22.5 = 62.5g