The income of A is 20 less than the incomeofB and the incomeofC is 70 of the sum of incomes of A and...........

Quantitative Aptitude (CGL) Percentage

The income of A is 20% less than the incomeofB and the incomeofC is 70%of the sum of incomes of A and B. The incomeof D is

25%more than the income ofC.If the difference between the incomes of B and D is Rs23000, then what is the income(in Rs) of A?

This questions was previously asked in

SSC CGL 18th August 2021 Shift-2

28000

26000

32000

25000

- Let's assume B's income is \( x \).

- A's income is 20% less than B's, so A's income is \( 0.8x \).

- The income of C is 70% of the sum of incomes of A and B: \( 0.7(0.8x + x) = 0.7(1.8x) = 1.26x \).

- D's income is 25% more than C's, which is \( 1.25 \times 1.26x = 1.575x \).

- The difference between B's income and D's income is Rs 23000:

1.575x - x = 0.575x = 23000

- Solving for \( x \), we find \( x = \frac{23000}{0.575} \approx 40000 \).

- Therefore, A's income is \( 0.8 \times 40000 = 32000 \).

- Option 3: 32000 matches A's income calculation.

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