A man bought a piece of land for ₹48,000. He sold two-fifth of it at a loss of 10%. At what gain percentage (rounded off to 1 decimal place) should he sell the remaining land to earn an overall profit of 42%?

76.7%

Let the total quantity = 10

                    CP                 SP

Two fifth       4                   3.6

three fifth     6                   x

               —————————————

                10                  14.2       (overall gain = 42%)

x = 14.2 - 3.6 = 10.6

Profit at which remaining is sold = ( 10.6 - 6) × \(\frac{100}{6}\) = 76.7%