Question : A man sold an item for Rs. 33,750 and incurred a loss of 25%. At what price should he sell the item to have a profit of 25%?
Option 1: Rs. 45,000
Option 2: Rs. 52,450
Option 3: Rs. 40,850
Option 4: Rs. 56,250
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Correct Answer: Rs. 56,250
Solution : Given: A man sold an item for Rs. 33,750 and incurred a loss of 25%. Here the selling price (SP) = Rs. 33,750 Loss percentage = 25% So, the cost price (CP) = SP × $\frac{100}{100-\text{loss percentage}}$ = 33750 × $\frac{100}{100-25}$ = 33750 × $\frac{100}{75}$ = Rs. 45,000 Now to have a profit of 25% SP = CP × $\frac{100+\text{profit percentage}}{100}$ = 45000 × $\frac{100+25}{100}$ = 45000 × $\frac{125}{100}$ = Rs. 56,250 Hence, the correct answer is Rs. 56,250.
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