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A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13%. His gain (in %) is:

  1. A
    9.62
  2. B
    9.26
  3. C
    6.92
  4. D
    6.29

Solution & Step-by-step Explanation

Let the Cost Price (CP) be 100.
The markup is 26% above CP:

Marked Price (MP)=100+26=126
A discount of 13% is given on the MP:

Discount=13% of 126=
100
13×126

=
100
1638

=16.38
Selling Price (SP)=MP−Discount=126−16.38=109.62
Gain=SP−CP=109.62−100=9.62
Gain Percentage=
100
9.62

×100=9.62%
Alternatively, using the successive percentage formula a+b+
100
ab

where a=+26 and b=−13:

Net Gain%=26−13−
100
26×13

=13−3.38=9.62%

Practice this question

Try it yourself before checking the explanation above.

A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13%. His gain (in %) is:
A
9.62
B
9.26
C
6.92
D
6.29

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