| The cost price of 18 articles is equal to the selling price of 15 articles. The gain per cent is [SSC (10+2) 2013] |
A) 25%
B) 20%
C) 18%
D) 15%
Correct Answer: B
Solution :
| Let the CP of 1 article \[=\text{Rs}.\,x\] |
| \[\therefore \]CP b of 18 articles \[=\text{Rs}\text{.18}x\] |
| and SP of 15 articles \[=\text{Rs}\text{.18}x\] |
| \[\therefore \]SP of 1 article \[=\frac{18x}{15}\] |
| \[\operatorname{Profit}=SP-CP=\frac{18x}{15}-x=\frac{3x}{15}=\frac{x}{5}\] |
| \[\therefore \] \[\operatorname{Profit}%=\frac{\text{Profit}\times \text{100}}{\text{CP}}\] |
| \[=\frac{\frac{x}{5}\times 100}{x}=20\]% |
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