Question

Fraction of remaining cake is .

• A. $\frac{70}{100}$
• B. $\frac{50}{100}$
• C. $\frac{60}{100}$
• D. $\frac{40}{100}$

Answer 1

The correct option is D $\frac{40}{100}$

$\text{Part of cake eaten by Raj =}\frac{20}{100}$

$\text{Part of cake eaten by Piya =}\frac{4}{10}$

Now, calculate the amount of remaining cake.

Next, add the part of cake eaten by both Raj and Piya.

The fractions are unlike fractions.
So, let us convert them into like fraction with denominator 100.

$\frac{4}{10}=$ $\frac{4\times 10}{10\times 10}$

$=\frac{40}{100}$

Calculating the fraction of cake eaten by both:

$\frac{20}{100}+$ $\frac{4}{10}=$ $\frac{20}{100}+$ $\frac{40}{100}$

$=\frac{20+40}{100}$

$=\frac{60}{100}$

Both of them have eaten some part from 1 cake.

So, the remaining part is:

$1-$ $\frac{60}{100}=$ $\frac{100}{100}-$ $\frac{60}{100}$

$=\frac{100-60}{100}$

$=\frac{40}{100}$

$\therefore \frac{40}{100}\text{part of the cake is remaining.}$