Question

Ahmed Buys a plot of land for ₹480000. He sells2/5 of it at a loss of 6%. At what gain per should he sell the remaining part of the plot to gain10% on the whole.

Answer 1

✬ Gain % = 20.66 % ✬

Step-by-step explanation:

Given:

• Ahmed bought a plot of land for Rs 480000.
• He sold 2/5th of land on loss of 6%.

To Find:

• At what gain percent he should sell the remaining plot to gain 10% on whole ?

Solution: Since, he sold 2/5 of total land. Therefore, cost price of 2/5th part of land will be

➨ C.P = 2/5(480000)

➨ C.P = Rs 192000

Also he suffered a loss of 6% on selling 2/5th part of plot.

★ S.P = C.P (100 – Loss%)/100 ★

$\implies{\rm }$ S.P = 192000(100 – 6)/100

$\implies{\rm }$ S.P = 1920(94)

$\implies{\rm }$ S.P = Rs 180480

Remaining part of land after selling 2/5 part will be 3/5.

∴ C.P of 3/5 part of land = 3/5(480000)

=> Rs 288000

Selling price whole of land in order to gain 10% will be

★ S.P = C.P (100 + Profit%)/100 ★

$\implies{\rm }$ S.P = 480000(100 + 10)/100

$\implies{\rm }$ S.P = 4800(110)

$\implies{\rm }$ S.P = Rs 528000

[ Difference between both selling price ]

• Rs (528000 – 180480) = 347520

★ Gain = S.P – C.P ★

=> Gain = Rs (347520 – 288000)

=> Gain = Rs 59520

★ Gain % = Gain/C.P $\times$ 100 ★

=> Gain % = 59520/288000 $\times$ 100

=> Gain % = 5952000/288000

=> Gain % = 20.66%

Hence, he should sell the remaining part of plot on gain % of 20.66.

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• Ahmed Buys a plot of land for ₹480000.

• He sells ⅖ of the the land at a loss of 6%

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• At what gain percent should he sell the remaining part of the plot to gain 10% on the whole?

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Cost of the land = ₹ 480000

$\bf \frac{2}{5}\:of\:the\:land$

$\bf \frac{2}{5} \times 480000$

$\bf \: =192000$

Loss of 6%

$\boxed{ \bf \: \frac{100 - loss\%}{100} \times C.P}$

$\bf \: = \dfrac{100 - 6}{100}\times 192000$

$\bf \: = {92}\times 1920$

$\bf \: = Rs.180480$

Required:-

Total gain% = 10%

$\boxed{ \bf \: = \frac{100 + gain\%}{100} \times C.P}$

${ \bf \: = \frac{100 + 10}{100} \times 480000}$

${ \bf \: = {110} \times 4800}$

$\bf \:= Rs.528000$

S.P of remaining part of land = 528000 - 180480

= Rs. 347520

C.P of remaining part of land

= $\bf \: \dfrac{3}{5} \times 480000$

$\bf= 288000$

Gain on remaining part of the land

$\boxed{ \bf \frac{S.P - C.P}{C.P} \times 100 }$

$={ \bf \dfrac{347520 - 288000}{288000} \times 100 }$

$={ \bf \dfrac{59520}{288000} \times 100 }$

$\boxed{\bf = 20.6\%}$