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Question

Mathematics Question on Profit and Loss

The marked price of a certain commodity is 30% higher than its cost price. A discount of 20% on the marked price makes the selling price Rs. 208. What is the net profit as a percent of cost price?

A

10%

B

4%

C

8%

D

12%

Answer

4%

Explanation

Solution

Let cost price of article be Rs.100xx
Marked price = Rs.130xx
After 20% discount, selling price =80100×\frac{80}{100}\times 130xx=208
4 ×26xx=208
x=2x=2----(i)
Thus, cost price of article = Rs. 200
Therefore, Net profit as percent of cost price =(SPCPCP)×100(\frac{SP-CP}{CP})\times100
=(208200200)×100=4%(\frac{208-200}{200})\times100=4\%
The correct answer is (B): 4%