Ahmed buys a plot of land for 480000 he sells two upon 5 of it at a loss of 6% at what gain percent should he sell the remaining part of the plot to gain 10% on the whole
Answers
cost price of the land = 480000
2/5 part sold at 6% loss =
cost = 2/5th part 480000*6/100 = 28800
selling price = 28800 - 6% (loss) = 28800 - 1728 = 27072
Required to find the gain percent at which he should sell the remaining part of the plot to gain 10% on the whole..
10% gain on whole = 480000 *10/100 = 48000
sales price = 480000 + 48000 = 528000..
amount still required to meet this criteria = 528000 - 27072= 500928
cost of remaining part (3/5) = 480000*3/5 = 288000..
so cost + gain = sales
288000 + gain = 500928
gain = 500928 - 288000= 212928..
gain percentage = gain/cost price = (212928/288000)*100 = 73.93%
it is wrong let me show you the correct answer
Answer:-
CP of plot = Rs.480000
SP of plot to gain 10%
SP = 100+Gain% / 100 x CP
= ((100+10)/100) * 480000
= Rs.528000
CP for 2/5 area of plot = 480000 × 2/5
= Rs.192000
SP of 2/5 area of plot will be
SP = ((100- Loss %)/100) * CP
= ((100-6)/ 100) × 192000
= Rs. 180480
Difference between both the Selling Prices
= 528000 180480
= Rs.347520
CP for 3/5 land = 480000192000
= Rs.288000
SP for 3/5 land = Rs.347520
Gain = SP-CP
= 347520 288000
= Rs.59520
Gain%= Gain×100/ CP
= (59520 × 100) / 288000
= 20.66%. or 20(whole) 2/3