Question : The profit percentage earned by selling a centre table for Rs. 13440 is equal to the loss percentage made by selling the same centre table for Rs. 10560. At what price should the article be sold to make a 20% profit?
Option 1: Rs. 12000
Option 2: Rs. 24000
Option 3: Rs. 14400
Option 4: Rs. 18000
Correct Answer: Rs. 14400
Solution :
Given: The profit percentage earned by selling a centre table for Rs. 13440 is equal to the loss percentage made by selling the same centre table for Rs. 10560.
The cost price (CP) is midway between the price sold at a loss and the price sold at a profit same as the loss.
So, the CP = $\frac{13440+10560}{2}$ = Rs. 12000
To make a profit of 20%,
Selling price (SP) = CP × $\frac{100+\text{profit percentage}}{100}$
= 12000 × $\frac{100+20}{100}$
= Rs. 14400
Hence, the correct answer is Rs. 14400.
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