Question

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Answer 1

CP={100/(100+GAIN%) X SP}
{100/(100+22.5) X 392
100/122.5 X 392=Rs.320
THEREFORE, CP=Rs.320
PROFIT%=PROFIT/CP X 100%
22.5=PROFIT/320 X 100
22.5*320/100=PROFIT
Rs.72=PROFIT

Answer 2

Answer:  Rs. 72

Explanation:

C.P =  ( SP x (100/ [100+GAIN%] ) ).

C.P =   ( 392 x(100 / [100+22.5] ) ).

C.P = ( 392 x ( 0.817) )

C.P = 320.

Profit = S.P - C.P = 392 - 320 = 72.

Profit= Rs . 72