| The marked price of a radio is Rs. 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, then his gain per cent would be [SSC (CGL) 2011] |
A) 18%
B) 20.5%
C) 18.5%
D) 20%
Correct Answer: D
Solution :
| Marked price of radio \[=\text{Rs}.\,\,480\] |
| \[\therefore \]Selling price of a radio \[=480\left( \frac{100-10}{100} \right)\] |
| \[=\frac{480\times 90}{100}=432\] |
| Cost price of a radio \[=\frac{432\times 100}{100+8}=\frac{432\times 100}{108}=\text{Rs}.\,400\] |
| Profit when article is sold at MP \[=480-400=80\] |
| \[\therefore \]Profit%=\[\frac{80}{400}\times \,100\]=20% |
| Alternate Method |
| \[\text{MP}=480,\] \[{{r}_{1}}=10%\]and \[{{r}_{2}}=8%\] |
| \[CP=\frac{MP\times (100-{{r}_{1}})}{100\,\,\,\,\,\,{{r}_{2}}}=\frac{480\times (100-10)}{100+8}\] |
| \[=\frac{480\times 90}{108}=\text{Rs}\text{.400}\] |
| \[\text{Profit}=480-400=\text{Rs}\text{.}\,\,\text{80}\] |
| \[\therefore \]Profit%=\[\frac{80}{400}\times \,100\]=20% |
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