Income relations across three people A, B, and C: 5% of A equals 15% of B, and 10% of B equals 20% of C. If C earns ₹2000, what is A + B + C (in ₹)?

Difficulty: Easy

Correct Answer: Rs. 18000

Explanation:


Introduction / Context:
This chained-percentage relation converts to simple ratios among A, B, and C. Once ratios are established, use the given absolute income of C to scale and find the sum of all three incomes.


Given Data / Assumptions:
5% of A = 15% of B; 10% of B = 20% of C; C = ₹2000.


Concept / Approach:
From 5% of A = 15% of B, we get A/B = 15/5 = 3 ⇒ A = 3B. From 10% of B = 20% of C, we get B/C = 20/10 = 2 ⇒ B = 2C. Substitute C to find B, then A, and finally sum them.


Step-by-Step Solution:

B = 2C = 2 * 2000 = ₹4000 A = 3B = 3 * 4000 = ₹12000 Total = A + B + C = 12000 + 4000 + 2000 = ₹18000


Verification / Alternative check:
Check the original relations: 5% of A = ₹600 equals 15% of B = ₹600; 10% of B = ₹400 equals 20% of C = ₹400. Consistent.


Why Other Options Are Wrong:
6000, 14000, 16000, and 20000 do not satisfy the ratio chain when C = 2000.


Common Pitfalls:
Inverting ratios, or mixing which percentage applies to which person. Convert each relation to a clean proportion before scaling.


Final Answer:
Rs. 18000

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