Daily income relation and average: The average income of A, B, and C is Rs 60. B earns Rs 20 more than C, and A earns twice what C earns. Find the daily income of C.
Aptitude
Average
Difficulty: Easy
Choose an option
Answer
Correct Answer: Rs 40
Explanation
Introduction / Context:Income relations can be set as variables and solved using the average. Translate each statement into algebra and solve systematically.
Given Data / Assumptions:
- Average of A, B, C = Rs 60, so total Rs 180
- B = C + Rs 20
- A = 2 * C
Concept / Approach:Let C = x. Then A = 2x and B = x + 20. Substitute into the total to solve for x.
Step-by-Step Solution:
Total = A + B + C = 2x + (x + 20) + x = 4x + 20Set 4x + 20 = 1804x = 160 => x = 40Therefore C = Rs 40Verification / Alternative check:A = 80, B = 60, C = 40. Sum = 180, average = 60. Relations are satisfied.
Why Other Options Are Wrong:
- Rs 70, 60, 35, 50: do not satisfy both the total and the linear relations.
Common Pitfalls:Mistakes arise if B is misread as 20 percent more or if A is misinterpreted. The wording indicates absolute values, not percentages.
Final Answer:Rs 40