Question

A trader marks his goods 25% above cost price and allows a discount of 8% on it. Find his gain per
cent.

Answer 1

Let his CP = Rs. 100.
Marked Price = 100 + 25% of 100 = 125.
Now, discount = 25/2% on MP.
So, SP = 125 - (25/2)% of 125 = Rs. 109.375.
%Gain = 9.375%.

Alternatively use graphic change method:

100(CP)==25% Up==>125(MP)==12.5%down ==>109.375.
%Profit = 9.375%.

Answer 2

Let CP be Rs. x
So,
MP = x*125/100 = Rs. 5x/4
Now,
Discount = 8%
So,
SP = 5x/4 * 92/100 = Rs.23x/20
So,
Gain = 23x/20 - x = 3x/20
Gain% = 3x/20*100/x = 3*5% = 15% Ans

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