5% of income of A is equal to 15% of income of B and 10% income of B is equal to 20% of income of C. If the income of C is Rs. 2,000, then what is the total income of A, B and C ?
Rs. 20,000
Rs. 18,000
Rs. 14,000
Rs. 6,000
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2017
1) 5% of A = 15% of B
(5/100) * A = (15/100) * B
0.05 A = 0.15 B
Divide both sides by 0.05: A = (0.15 / 0.05) B => A = 3B
2) 10% of B = 20% of C
(10/100) * B = (20/100) * C
0.10 B = 0.20 C
Divide both sides by 0.10: B = (0.20 / 0.10) C => B = 2C
We are given the income of C is Rs. 2,000.
Substitute the value of C into the equation for B:
B = 2 * C = 2 * 2000 = Rs. 4,000.
Substitute the value of B into the equation for A:
A = 3 * B = 3 * 4000 = Rs. 12,000.
The total income of A, B, and C is the sum of their individual incomes:
Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.