Question : Sofia sold an iPhone at the cost of Rs. 46,068 at a loss of 12%. At what cost will she have to sell it to get a profit of 18%?
Option 1: Rs. 61,773
Option 2: Rs. 65,773
Option 3: Rs. 58,350
Option 4: Rs. 52,350
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Correct Answer: Rs. 61,773
Solution :
The selling price of the iPhone at 12% loss = Rs. 46068
We know that loss% = $\frac{\text{Cost price}-\text{Selling Price}}{\text{Cost price}}\times 100$
⇒ $12=\frac{\text{Cost price}-46068}{\text{Cost price}}\times 100$
⇒ Cost price = Rs. 52350
Also, profit% = $\frac{\text{Selling Price}-\text{Cost price}}{\text{Cost price}}\times 100$
⇒ $18=\frac{\text{Selling Price}-52350}{53350}\times 100$
⇒ The selling price = Rs. 61773
Hence, the correct answer is Rs. 61773.
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