By selling an article for Rs. 102, there is a loss of 15%. When the article is sold for Rs. 134.40, the net result in the transaction is [SSC (CGL) Mains 2014] |
A) 12% gain
B) 12% loss
C) 10% loss
D) 15% gain
Correct Answer: A
Solution :
Here, SP = Rs. 102 |
Loss per cent =15% |
CP of article \[=\frac{\text{100}\times \text{SP}}{\text{100}-\text{Loss}\,\,\text{per}\,\,\text{cent}}\] |
\[=\frac{100\times 102}{100-15}=\frac{10200}{85}=\text{Rs}\text{.}\,\,\text{120}\] |
Now, the article is sold for Rs. 134.40 |
Here, \[\text{SP}>\text{CP}\] |
\[\therefore \]Profit percent \[=\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100\] |
\[=\frac{134.40-120}{120}\times 100\] |
\[=\frac{14.40\times 100}{120}=\frac{1440}{120}=12\]% |
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