A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13%. His gain (in %) is:
- A9.62
- B9.26
- C6.92
- D6.29
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%
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%