Question: 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.
Options:
A) 32%
B) 30%
C) 40%
D) 35%
Show Answer
Answer:
Correct Answer: B
Solution:
- Marked price of table = Rs. 200
Two successive discounts of 10% and 15%.
$ \therefore $ Overall discount percentage $ =( r _1+r _2+\frac{r _1r _2}{100} )% $
$ r _1=-10 $ and $ r _2=-15 $
[ $ - $ ve because discounts are given]
$ =( 10-15+\frac{150}{100} )%=(-25+1.5)%=-23.5% $
Overall discount on table = 23.5% of 200
$ =\frac{23.5}{100}\times 200=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=Rs\text{. 160} $
Now, given selling price of table = Rs. 208
Gain percentage $ =( \frac{SP-CP}{CP} )\times 100% $
$ =\frac{208-160}{160}\times 100%=\frac{48}{160}\times 100%=30% $
$ \therefore $ Profit percentage of shopkeeper $ =30% $
BETA
