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5% income of A is equal to 15% income of B and 10% income of B is equal to 20% income of C. If income of C is ₹ 2,000, then the sum of the incomes (in
Question

5% income of A is equal to 15% income of B and 10% income of B is equal to 20% income of C. If income of C is ₹ 2,000, then the sum of the incomes (in ₹) of A, B, and C is:

A.

9,000

B.

12,000

C.

18,000

D.

6,000

Correct option is C

Given:
- 5% income of A = 15% income of B.
- 10% income of B = 20% income of C.
- Income of C = ₹ 2,000.

Formula Used:
- From the first equation: 0.05 × A = 0.15 × B => A = 3B
- From the second equation: 0.10 × B = 0.20 × C => B = 2C

Solution:
- Since C = 2000, substitute this into the equation B = 2C:
B = 2 × 2000 = 4000
- Now, using A = 3B:
A = 3 × 4000 = 12000
- Therefore, the sum of the incomes of A, B, and C is:
A + B + C = 12000 + 4000 + 2000 = 18000
The sum of the incomes of A, B, and C is ₹ 18,000.

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