Question

Ahmed buys a plot of land for rupee 480000.he sells 2/5 of it at a loss of 6% .at what gain per cent should he sell the remaining part of the plot to gain 10% on the whole

Answer 1

Cost of land = 480000

sold 2/5 land and the amount he got = 480000 * 2/5

= 192000

Loss of 6% percent = 192000(1-6/100)

= 192000(94/100)

= 1920 * 94

= 180480

To gain 10% profit = 480000 * 1.1

= 528000

selling 3/5 of land = 528000 - 180480

= 347520

cost of remaining 3/5 land= 480000 * 3/5 = 288000

Gain % = 100 * (347520 - 288000)/288000 = 20.66


Hope this helps!

Answer 2

Cost of land = 480000

 sold 2/5 land and the amount he got = 480000 * 2/5
 
                                                                = 192000

Loss of 6% percent =  192000(1-6/100)

                                 = 192000(94/100)

                                 = 1920 * 94

                                 = 180480

To gain 10% profit  = 480000 * 1.1
            
                               = 528000

selling 3/5 of land = 528000 - 180480

                               = 347520

cost of remaining 3/5 land= 480000 * 3/5 = 288000

Gain % = 100 * (347520 - 288000)/288000 = 20.66


Hope this helps!