Question : A person sold a chair at a profit of 13%. Had he sold it for INR 607.50 more, he would have gained $x$%. If the cost price of the chair is INR 3750, then the value of $x$ is:
Option 1: 30
Option 2: 32
Option 3: 28.4
Option 4: 29.2
Correct Answer: 29.2
Solution : Given: A person sold a chair at a profit of 13%. Had he sold it for INR 607.50 more, he would have gained $x$%. The cost price of the chair is INR 3750. Profit percentage = $\frac{\text{SP–CP}}{\text{CP}}\times 100$ where $SP$, $CP$ are the selling price and the cost price. ⇒ Profit percentage = $\frac{607.50}{3750}\times 100=16.2$% The value of $x$ = 13% + 16.2% = 29.2% Hence, the correct answer is 29.2.
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