Question

A dealer bought 80 badminton racket for rs 50 each. He sells the 20 of them at gain of 5%.at what gain % must he sell the remaining so as to gain 10%of the whole

Answer 1

GIVEN
Number of rackets dealer bought = 80
Rate of each racket = Rs 50
Total cost of 80 rackets
= Rs (80 x 50)
= Rs 4000

Cost of 20 racket
= Rs (20 x 50)
= Rs 1000
5% profit of Rs 1000 is
= Rs 5000 / 100
= Rs 50

He sold 20 racket at
Rs 1000 + Rs 50 = Rs 1050

10 % profit of whole
= (10 x 4000) / 100
= Rs 400

Cost of remaining 60 rackets
= 60 x 50
= Rs 3000

As dealer had already gained profit by Rs 50 on 20 rackets.
Remaining profit he has to gain in 60rackets
= Rs (400 - 50)
= Rs 350

Therefore, profit % on selling remaining rackets
= 350 x 100 / 3000
= 35 / 3 %
= 11 2 / 3 % or 11.66 %