Question

A fruit merchant bought some bananas. One fourth of them got spoiled. He sold another one-fourth of them at 24% loss and the remaining at 18% profit. Find his overall loss percentage.
A. `19%`
B. `22%`
C. `3%`
D. `6%`

Answer 1

Correct Answer - B
Suppose the merchant bought 100 bananas. 25 of them got spoiled. 25 of them were sold at 24% loss and the remaining 50 of them were sold at 18% profit.
Let the cost price of each banana be ₹ x.
`:.` Total cost price ₹ 100x
Total selling price (in ₹ )=(25)(0)+(25)
`(x)(1-(24)/(100))+(50)(x)(1-(18)/(100))`
`=(0+19+59)x=78x`, which is less than total C.P.
`:.` An overall loss is made.
`:.` Overall loss=₹ 22x
`:.` Overall loss percentage`=(22x)/(100x)(100)%`
`=22%`