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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


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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