Question : Mohan sold his watch at a loss of 10%. If he had sold it for Rs. 45 more, he would have made a profit of 5%. The selling price (in Rs.) of the watch was:
Option 1: 300
Option 2: 900
Option 3: 110
Option 4: 270
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Correct Answer: 270
Solution :
Let the cost price of the watch be $x$.
Mohan sold his watch at a loss of 10%.
So, selling price = $\frac{90}{100}×x$
If he had sold it for Rs. 45 more, he would have made a profit of 5%.
So, then selling price = $\frac{105}{100}×x$
According to the question,
$\frac{90}{100}×x+45=\frac{105}{100}×x$
⇒ $\frac{15}{100}×x=45$
$\therefore x = 300$
Selling price = $\frac{90}{100}×300=270$
Hence, the correct answer is 270.
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