Question

$\frac{4}{5}$ of $5\mathrm{kg}$ apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. The weight ($\mathrm{in}\mathrm{kg}$) of apples left now is

• A. $\frac{2}{7}$
• B. $\frac{1}{14}$
• C. $\frac{2}{3}$
• D. $\frac{4}{21}$

Answer 1

The correct option is C

$\frac{2}{3}$

The total quantity of apples given $=5\mathrm{kg}$.

Apples used on Monday $=\frac{4}{5}\mathrm{of}5\mathrm{kg}=4\mathrm{kg}$.

Apples left after use on Monday $=5-4=1\mathrm{kg}$.

Apples used on the next day $=\frac{1}{3}\mathrm{of}1=\frac{1}{3}\mathrm{kg}$.

Apples finally left $=1-\frac{1}{3}=\frac{2}{3}\mathrm{kg}$.

So, the required number of apples left $=\frac{2}{3}\mathrm{kg}.$

Hence, option C is correct.