Question

$\text{In a birthday party}\frac{6}{8}\text{th of the cake was}$$\text{eaten by few children. Sam ate}\frac{4}{5}\text{th of the}$ $\text{remaining cake. What percentage}$ $\text{of the whole cake did Sam eat?}$

• A. 25%
• B. 16.66%
• C. 20%
• D. 12.5%

Answer 1

The correct option is C

20%

$\text{Given,}\frac{6}{8}\text{th of the cake was eaten.}$

Fraction remaining
$=1-\frac{6}{8}=\frac{1}{4}$

$\frac{4}{5}thof\frac{1}{4}=\frac{4}{5}\times \frac{1}{4}=\frac{1}{5}$

$\therefore$ The percentage of cake that Sam ate was $=\frac{1}{5}\times 100=20\%$