Question : A table is sold at a profit of 13%. If it is sold for Rs 25 more, then the profit is 18%. The cost price of the table is:
Option 1: Rs. 100
Option 2: Rs. 500
Option 3: Rs. 200
Option 4: Rs. 1,000
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Correct Answer: Rs. 500
Solution :
Let the cost price ($\text{CP}$) of the table be $y$
Selling Price ($\text{SP}$) at $R\%$ profit = $\frac{(100+R\%)}{100}\times \text {CP}$
According to the question,
$\frac{113y}{100}+25=\frac{118y}{100}$
⇒ $\frac{5y}{100}=25$
⇒ $y=500$
Hence, the correct answer is Rs. 500.
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