Question

A man bought a certain number of oranges; out of which $13$ percent were found rotten. He gave $75\%$ of the remaining in charity and still has $522$ oranges left. Find how many had he bought?

• A. $2440$
• B. $2004$
• C. $2444$
• D. $2400$

Answer 1

Answer: (D)

Let no.of oranges bought$=100$

then percentage of oranges rotten$=13$%

then remaining oranges$=100-13$% of $100=87$

percentage given to charity out of left oranges$=75$% of $87=21.75$

by unitary method $100-21.75$ then

if $522$ are left then no.of oranges bought$=522\times \frac{100}{21.75}=2400$