A man buys goods for ₹8,000. Hesells 30% of those goodsat a profit of 12% and 40% of the remaining goods at a profit of 25%. At what profit percentage should he sell the remaining goods to gain 30% in the entire transaction (correct to one decimal place)?

46.2%

Let the total quantity = 100

                       CP                  SP

30%=              30                 33.6  (12% Profit)

40% of Rem.    28                 35 ( 25% Profit)

Rem. 42          42                 x

             ———————————————

overall          100                  130  (30% Profit)

x = 130 - 35 - 33.6  = 61.4

So profit % on remaining = ( 61.4 - 42) ×  \(\frac{100}{42}\) = 46.2%