The income of A is 40 morethan that of B If A got a 25 rise in his income and B got a 40 rise in his...........

Quantitative Aptitude (CGL) Percentage

The income of A is 40% morethan that of B. If A got a 25% rise in his income and B got a 40% rise in his income, then the

percentage increase in the combined incomes of A and B is:

This questions was previously asked in

SSC CGL 10 June 2019 Shift-1

31.25

34.5

28.25

24.5

- Let's represent B's initial income as \( x \).

- So, A's initial income is \( 1.4x \) (since A earns 40% more than B).

- After a 25% increase, A's income becomes \( 1.25 \times 1.4x = 1.75x \).

- After a 40% increase, B's income becomes \( 1.4x \).

- Combined original income: \( 1.4x + x = 2.4x \).

- Combined new income: \( 1.75x + 1.4x = 3.15x \).

- Percentage increase in combined income:

\left(\frac{3.15x - 2.4x}{2.4x}\right) \times 100 = \frac{0.75x}{2.4x} \times 100 = 31.25\%

- Therefore, the correct option is Option 1: 31.25%.

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