# Ahmed buys a plot of land for Rs96000 , he sell 2/5 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.

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CP of 2/5th land = (96000×2)/5 = 38400

SP on loss 6% = CP - loss

= CP (1 - 6/100)

= (38400×94)/100

=Rs 36096

**for gaining 10% on whole**

SP= CP + 10% of CP

=96000 + (10×96000)/100

= 96000 + 9600

SP = Rs 105600

SP of 2/5th land = Rs 36096

SP of 3/5th land should be Rs (105600 - 36096) = Rs 69504

CP of 3/5th land = (96000×3)/5 = Rs 57600

gain = Rs (69504 - 57600) = Rs 11904

**gain % = (11904×100)/57600 = 20.6%**

SP on loss 6% = CP - loss

= CP (1 - 6/100)

= (38400×94)/100

=Rs 36096

SP= CP + 10% of CP

=96000 + (10×96000)/100

= 96000 + 9600

SP = Rs 105600

SP of 2/5th land = Rs 36096

SP of 3/5th land should be Rs (105600 - 36096) = Rs 69504

CP of 3/5th land = (96000×3)/5 = Rs 57600

gain = Rs (69504 - 57600) = Rs 11904