Ahmed buys a plot of land for Rs- 480000- He sell 25 of it at a loss of 6

Buy of land =Rs. 480000 25× 480000=Rs. 192000 Loss=6% 100 6100× 192000=Rs. 180480 Total gain =10% 100+10100× 480000=Rs. 528000 ...

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Byju's Answer

Standard VIII

Mathematics

Finding Increase or Decrease Percentage in Situations

Ahmed buys a ...

Question

Ahmed buys a plot of land for $R s . 480000$ . He sell $\frac{2}{5}$ 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

Buy of land $= R s . 480000$

$\frac{2}{5} \times 480000 = R s . 192000$

$L o s s = 6 %$

$\frac{100 - 6}{100} \times 192000 = R s . 180480$

$T o t a l g a i n = 10 %$

$\frac{100 + 10}{100} \times 480000 = R s . 528000$

$S . P = 528000 - 180480 = R s . 347520$

$C . P$ of remaining part of land $= \frac{3}{5} \times 480000 = R s . 288000$

$G a i n %$ of remaining part of land $= \frac{S . P - C . P}{C . P} \times 100$

$= \frac{347520 - 288000}{288000} \times 100$

$= 20.6 %$

Hence, this is the answer.

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Ahmed buys a plot of land for Rs.480000. He sell 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 $R s . 480000$ . He sell $\frac{2}{5}$ 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?