| A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained\[16\frac{2}{3}\]%. The cost price of the commodity is |
A) Rs. 32
B) Rs. 36
C) Rs. 40
D) Rs. 48
Correct Answer: C
Solution :
| Let the first CP of the commodity be Rs. 100. |
| \[\therefore \]First SP = Rs. 110 |
| Second CP = Rs. 90 |
| \[\operatorname{Profit}=\frac{50}{3}\]% |
| \[\therefore \]Second SP\[=\left( 100+\frac{50}{3} \right)\]% of 90 |
| \[=90\times \frac{350}{300}=\text{Rs}\text{.}\,\,\text{105}\] |
| Difference of SP \[=\text{Rs}\text{.}\,\,\text{(110}-\text{105)}=\text{Rs}\text{.}\,\,\text{5}\] |
| \[\therefore \]If the difference is Rs. 5, then the CP = Rs. 100 |
| \[\Rightarrow \]If the difference is 7 2, then the CP \[=\frac{100}{5}\times 2=\text{Rs}\text{.}\,\,\text{40}\] |
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