Question

Darshan purchased 5 kg of apples out of which ${\frac{1}{4}}^{\text{th}}$ were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.

• A. $\frac{5}{4}$
• B. $\frac{15}{4}$
• C. $\frac{15}{16}$
• D. $\frac{4}{15}$

Answer 1

The correct option is C $\frac{15}{16}$

Quantity of apples purchased = 5 kg
Quanity of apples found rotten = $\frac{5}{4}$ kg
$⟹$ Quanity of apples that weren't rotten =$(5-\frac{5}{4})$ kg = $\frac{20-5}{4}$ kg = $\frac{15}{4}$ kg

Now, $\frac{15}{4}$ kg of apples are to be divided among 4 people.
$⟹$Each person gets a share of $\frac{\frac{15}{4}}{4}$ kg of apples.
But, $\frac{\frac{15}{4}}{4}=\frac{15}{4}\times \frac{1}{4}=\frac{15}{16}.$
Thus, the fraction of apples that Darshan got is equal to $\frac{15}{16}.$