| A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item his advertised price of the item (Rs.) is [SSC (CGL) 2011] |
A) 820
B) 780
C) 790
D) 800
Correct Answer: D
Solution :
| Let the advertised price of item be Rs. x. |
| Commission \[=\frac{x\times 23}{100}\] |
| \[\Rightarrow \]Price after commission \[=x-\frac{23x}{100}=\frac{77x}{100}\] |
| of the item \[=\frac{77x}{100}\times \frac{100}{100+10}=\frac{77x}{110}=\frac{7x}{100}\] |
| \[\Rightarrow \]Profit \[=\frac{77x}{100}-\frac{7x}{10}=\frac{7x}{100}\]\[\Rightarrow \]\[56=\frac{7x}{100}\] |
| \[\Rightarrow \] \[x=\text{Rs}\text{.}\,\,800\] |
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