Ahmed buys a plot of land for $480000. he sells 2/5 of it 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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Cost price = 480000
selling part = 2/5
cost = 480000×2/5 = 192000
loss = 6%
selling price = cost - cost × loss percentage
= 192000 - 192000×6/100
= 192000 - 11520
= 180480 ..
required gain = 10% on whole
480000×10% = 48000
required sale = cost price + gain = 480000+48000 = 528000
available amount= 180480
Required part sale = required sale - available amount
= 528000 - 180480
=347520
cost price of remaining part = 480000×3/5 = 288000
sale >cost
profit = sale - cost = 347520-288000=59520
gain percentage =( gain /cost price)×100= (59520/288000)×100 = 20.66% is the answer
selling part = 2/5
cost = 480000×2/5 = 192000
loss = 6%
selling price = cost - cost × loss percentage
= 192000 - 192000×6/100
= 192000 - 11520
= 180480 ..
required gain = 10% on whole
480000×10% = 48000
required sale = cost price + gain = 480000+48000 = 528000
available amount= 180480
Required part sale = required sale - available amount
= 528000 - 180480
=347520
cost price of remaining part = 480000×3/5 = 288000
sale >cost
profit = sale - cost = 347520-288000=59520
gain percentage =( gain /cost price)×100= (59520/288000)×100 = 20.66% is the answer
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