Question

I carried $1000 \,kg$ of watermelon in summer by train. In the beginning the water content was $99 \%$. By the time I reached the destination, the water content had dropped to $98 \%$. The reduction in the weight of the watermelon was

• A. 10 kg
• B. 50 kg
• C. 100 kg
• D. 500 kg

Answer 1

Answer: (D)

We have, $1000\, kg$ of watermelon in which $99 \%$ are water.
$\therefore 990 \,kg$ water and $10 \,kg$ rest.
Now, $x$ kg watermelon has
$=\frac{98}{100} x$ water $+\frac{2 x}{100}$ rest
Weight of solid part should remain same
$\therefore \frac{2 x}{100}=10 \Rightarrow x=500$
$\therefore$ Weight reduction $=(1000-500) kg$
$=500\, kg$