Ahmed buys a plot of land for rs 96000

Asked by admin @ 23/08/2021 in Math viewed by 414 People

Ahmed buys a plot of land for Rs 96000. He sells 2/5 of it at a loss of 6% . At what gain% should he sell the remaining part of the plot to gain 10% on the whole

Answered by admin @ 23/08/2021

Solution:-
Given : C.P. of the land = Rs. 96000
C.P. of the 2/5th part of the land = 2/5 × 96000 = Rs. 38400
Loss on the sale of 2/5th part of land = 6 %
S.P of the 2/5th part of land = {(100-6) × 38400/100}
(94 × 38400)/100
94 × 384 = Rs. 36096
Total gain = 10 %
S.P. of the whole land = {(100+10) × 96000/100}
110 × 960
S.P. of the whole land = Rs. 105600
S.P. of the remaining part of the land i.e. 3/5th part = 105600 - 36096 = Rs. 69504
C.P. of the remaining part of land = (3×96000)/5 = Rs. 57600
Gain percentage of the remaining sold part of land
= {(69504 - 57600) × 100}/57600
= (11904 ×100)/57600
= 20.67 %
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