| The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs. 16. Find the gain per cent. [SSC (10+2) 2014] |
A) \[11\frac{1}{9}\]%
B) \[9\frac{1}{11}\]%
C) \[11\]%
D) \[8\]%
Correct Answer: A
Solution :
| Marked price = Rs. 200 and discount = 20% |
| \[\therefore \] \[SP=200-\frac{200\times 20}{100}=200-40=Rs.\,160\] |
| Now, Profit\[=SP-CP\] |
| \[\Rightarrow \] \[16=160-CP\] |
| \[\Rightarrow \] \[CP=160-16=Rs.\,144\] |
| Now, profit or gain percentage |
| \[=\frac{\operatorname{Profit}\,or\,Gain}{CP}\times 100%=\frac{16}{144}\times 100\]% |
| \[=\frac{1}{9}\,\times \,100%\,=\,11\,\frac{1}{9}\]% |
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