Question

Rahim and Raj went to pizza hut to celebrate Rahim's birthday. They ordered a big Pizza. Rahim ate $\frac{1}{5}th$ of the Pizza and Raj ate $\frac{1}{4}th$ of the remaining Pizza. What portion of the Pizza was left?

• A. $\frac{3}{5}$
• B. $\frac{2}{7}$
• C. $\frac{4}{5}$
• D. $\frac{1}{5}$

Answer 1

The correct option is A $\frac{3}{5}$

First Rahim ate $\frac{1}{5}th$ of the pizza.

Then, portion of the Pizza left $=1-\frac{1}{5}$

$=\frac{5-1}{5}$

$=\frac{4}{5}$

Now, Raj ate $\frac{1}{4}th$ of this remaining Pizza.

That is, Raj ate $=\frac{1}{4}\times \frac{4}{5}=\frac{1}{5}$th of the Pizza.

Now, portion of the Pizza left $=\frac{4}{5}-\frac{1}{5}$

$=\frac{4-1}{5}$

$=\frac{3}{5}$