Question

Population of a village is three lakh out which 40% were male and the rest were females. The male population earned a profit of 6% and the female population earned 8% on an investment of Rs.1200 each. Find the change in percentage profit of the village if the ratio of male to female gets reversed the next year, population remaining the same?

A Decrease of 0.4% Correct Answer Incorrect Answer
B Increase of 0.5% Correct Answer Incorrect Answer
C Increase of 0.4% Correct Answer Incorrect Answer
D Cannot be determined Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the population of the village be 100. Initially, ∴Number of males = 40 and Number of females = 60 ∴Total profit earned by males and females = 40 × 0.06 + 60 × 0.08 = 2.4 + 4.8 = 7.2 Next year, Number of males = 60 and Number of females = 40 ∴ Total profit earned by males and females = 60 × 0.06 + 40 × 0.08 = 3.6 + 3.2 = 6.8 ∴ Percentage change = 7.2 - 6.8 = 0.4 (decrease)

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