Ahmed buys a plot of land for Rs 960000. He sells $\frac{2}{5}$ of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?

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Solution

CP of the land = Rs 96000

CP of two-fifth of the land = $\frac{96000 \times 2}{5} = Rs . 38400$

$SP of \frac{2}{5} of the land = \frac{100 - loss %}{100} \times CP = \frac{94}{100} \times 38400 = Rs 36096$

Loss = Rs (38400 − 36096) = Rs 2304

At a gain of 10%, we have:
$SP of the land = \frac{100 + gain %}{100} \times CP = Rs \frac{110}{100} \times 96000 = Rs 105600$

Gain = Rs (105600 − 96000) = Rs 9600

Profit on the remaining land = Rs (9600 + 2304) = Rs 11904
CP of the remaining land = Rs (96000 − 38400) = Rs 57600

$∴ Gain percentage = (\frac{gain}{CP} \times 100) % = (\frac{11904}{57600} \times 100) % = 20.67 %$

Therefore, the profit on the remaining part of land is 20.67%.

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Ahmed buys a plot of land for Rs 960000. He sells 25 of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?

Ahmed buys a plot of land for Rs 960000. He sells $\frac{2}{5}$ of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?