# 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? - Mathematics

Sum

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?

#### Solution

Suppose number of oranges bought = 100
Number of Rotten oranges
= (13)/(100) xx 100
= 13
Remaining oranges = 87
Oranges given in charity
= (75)/(100) xx 87

= 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

Concept: Concept of Percent and Percentage
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (B) | Q 1 | Page 85