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 ₹)?

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:

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