Gita buys a plot of land for Rs.,96,000. She sells frac{2}{5} of it at a loss of 6 % . She wants to

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7.Profit and Loss

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Gita buys a plot of land for $Rs.\,96,000.$ She sells $\frac{2}{5}$ of it at a loss of $6 \% .$ She wants to make a profit of $10 \%$ on the whole transaction by selling the remaining land. The gain percentage on the remaining land is

$20$

$20 \frac{2}{3}$

$14$

$7$

Total expected $S.P.$ $=\frac{96000 \times 110}{100}=₹ 105600$

$S.P.$ of the first part $=\frac{2}{5} \times 96000 \times \frac{94}{100}=₹ 36096$

$S.P.$ of the remaining part $=105600-36096=₹ 69504$

$C.P.$ of the remaining part $=\frac{3}{5} \times 96000=₹ 57600$

$\operatorname{Gain}=₹(69504-57600)=₹ 11904$

Let, the gain per cent be $x$.

Now, according to the question,

$\frac{57600 \times x}{100}=11904$

$\Rightarrow \quad x=\frac{11904 \times 100}{57600}=20 \frac{2}{3} \%$

Standard 13

Quantitative Aptitude

easy

medium

hard

hard

medium