Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-47

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 \[=30%\]