A shopkeeper bought a table marked at Rs. 200 at successive discounts of 10% and 15%, respectively. He spent Rs. 7 on transport and sold the table for Rs. 208. Find his profit per cent. |
A) 32%
B) 30%
C) 40%
D) 35%
Correct Answer: B
Solution :
Marked price of table = Rs. 200 |
Two successive discounts of 10% and 15%. |
\[\therefore \]Overall discount percentage \[=\left( {{r}_{1}}+{{r}_{2}}+\frac{{{r}_{1}}{{r}_{2}}}{100} \right)%\] |
\[{{r}_{1}}=-10\] and \[{{r}_{2}}=-15\] |
[\[-\]ve because discounts are given] |
\[=\left( 10-15+\frac{150}{100} \right)%=(-\,\,25+1.5)%=-\,\,23.5%\] |
Overall discount on table = 23.5% of 200 |
\[=\frac{23.5}{100}\times 200=\text{Rs}\text{. 47}\] |
Now, cost price of table \[=200-47=153\] |
Now, he spends Rs. 7 on transportation. |
\[\therefore \]Total cost price of table \[=153+7=\text{Rs}\text{. 160}\] |
Now, given selling price of table = Rs. 208 |
Gain percentage \[=\left( \frac{SP-CP}{CP} \right)\times 100%\] |
\[=\frac{208-160}{160}\times 100%=\frac{48}{160}\times 100%=30%\] |
\[\therefore \]Profit percentage of shopkeeper \[=30%\] |
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