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When the plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

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Rs. 21,000

Rs. 22,500

Rs. 25,300

Rs. 25,800

answer is C.

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Detailed Solution

Let the cost of the plot be x. Given that, the Rs. 18,700 is 15% less than the cost that the owner had bought.
So,

(100 − 15) % ⇔ 85 % of x = R s .18, 700

.
We know that, a per cent of b is defined as

a 100 × b

85100 × x = 18700 x = 18700 × 10085 x = R s .22000

The price at which the owner needs to sell the plot in order to gain 15% is given by,

(100 + 15) % = 115 % of x = 115100 × 22000 = 25300

Hence, the correct option is 3.

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