A, B, and C together earn Rs 150 per day. A and C together earn Rs 94, and B and C together earn Rs 76. What is C’s daily earning?

Introduction / Context:This is a system of linear equations in daily earnings. Summations for different pairs allow isolating each individual value by subtraction.

Given Data / Assumptions:

• A + B + C = 150
• A + C = 94
• B + C = 76

Concept / Approach:Use subtraction to eliminate variables and solve for C directly, then cross check with any other pair equation.

Step-by-Step Solution:

Verification / Alternative check:Then A = 94 − C = 74. Check with total: A + B + C = 74 + 56 + 20 = 150, consistent with the first statement.

Why Other Options Are Wrong:Rs. 75, Rs. 56, Rs. 34, Rs. 30 do not satisfy all three equations simultaneously.

Common Pitfalls:Solving for the wrong variable; arithmetic errors when subtracting; assuming equal shares without basis.

Final Answer:Rs. 20