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Ragini sold an article for Rs.4,500 and incurred a loss. Had she sold the article for Rs.5,850 her gain would have been equal to half of the amount of
Question

Ragini sold an article for Rs.4,500 and incurred a loss. Had she sold the article for Rs.5,850 her gain would have been equal to half of the amount of loss that she incurred. At what price she should sell the article to have 10% profit?

A.

Rs.5,650

B.

Rs.5,940

C.

Rs.6,290

D.

Rs.7,920

Correct option is B

Given:

Selling the article for Rs.4,500 resulted in a loss.

Selling it for Rs.5,850 would have resulted in half of that loss as a profit.

Solution:-

5850 CP = 0.5 ×(CP - 4500)5850 -\text{ CP = 0.5 }\times\text{(CP - 4500)}

​​Solving this equation:

5850CP = 0.5CP - 22501.5CP = 8100CP = 54005850 - \text{CP = 0.5CP - 2250} \\\text{1.5CP = 8100} \\\text{CP = 5400}

For 10% profit, the selling price should be:

Selling Price = CP+10% of CP=1.1CP=1.15400=Rs. 5940\text{CP} + 10\% \text{ of CP} = 1.1 \cdot \text{CP} = 1.1 \cdot 5400 = \text{Rs. } 5940

​​Therefore, Ragini should sell the article for Rs. 5940 to make a 10% profit.

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