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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 ?
Explanation
To find the total income, we calculate the individual incomes of A, B, and C based on the given percentage relationships. Starting with C's income of Rs. 2,000, we use the condition that 10% of B's income equals 20% of C's income. Mathematically, 0.10 * B = 0.20 * 2,000, which simplifies to B = 4,000. Next, we use the condition that 5% of A's income equals 15% of B's income. This gives 0.05 * A = 0.15 * 4,000, resulting in A = 12,000. The total income of the three individuals is the sum of their respective incomes: Rs. 12,000 (A) + Rs. 4,000 (B) + Rs. 2,000 (C) = Rs. 18,000. This calculation follows standard ratio and percentage application methods used in quantitative aptitude problems.
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