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?

Answer 1

Suppose number of oranges bought = 100

Number of Rotten oranges = 13

Remaining oranges = 100 - 13

Remaining oranges = 87

Oranges given in charity

= `(75 xx 87)/100`

= `(3 xx 87)/(4)`

= `(261)/(4)`

Net balance of oranges

= `87 - (261)/(4)`

= `(348 - 261)/(4)`

= `(87)/(4)`

If the balance is `(87)/(4)` then number of oranges bought = 100

If the balance is 1 then number of oranges bought = `100 xx (4)/(87)`

if the balance is 522 then number of oranges bought

= `100 xx (4)/(87)xx 522`

= `(100 xx 4 xx 522)/(87)`

= 100 x 4 x 6

= 2400