Question

A man sold two chairs for Rs 500 each. On one he gains 20% and on the other he loses 12%. Find his net gain or loss.

Answer 1

Given:

S.P. of the 1st chair =₹ 500

Gain = 20%


C.P. of the 1st chair = 100× s.p/(100+profit%)

= 500×100/(100+20)

=500×100/(120)= 50000/120= 5000/12= 1250/3

C.P. of the 1st chair =₹ 1250/3


S.P. of the 2nd chair = ₹ 500

Loss = 12%

C.P. of the 2nd chair =100× s.p/(100 - loss%)

= (500×100)/(100−12)

=500×100/(88)

=500×25/22

=250×25/11

=6250/11


C.P. of the 2nd chair = ₹ 6250/11


S.P. of both the chairs = 500 +500= ₹ 1000

C.P. of both the chairs= 1250/3 + 6250/11

= (13750+18750)/33

=32500/33


Net gain = 1000 – 32500 /33

=(33000- 32500)/ 33 = 500 /33

Net gain = 500/33

=Gain % =( gain / c.p ) × 100

= (500/33) × 100 /(32500/33)

=(500/32500)×100

= 50000/32500

= 500/325

= 100 /65

= 20/13

= 1.5%

Hence, he gain 1.5 % in the whole transaction.