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)?
Answer & explanation
Correct answer: option 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
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overall 100 130 (30% Profit)
x = 130 - 35 - 33.6 = 61.4
So profit % on remaining = ( 61.4 - 42) × \(\frac{100}{42}\) = 46.2%