A supplies 20 men who work 8 hours per day for 6 days. B supplies 15 men working 9 hours per day for 7 days. C supplies 10 men working 6 hours per day for 8 days. If ₹ 636 is paid for all the labour, what is C's share?

Difficulty: Easy

Correct Answer: ₹ 128

Explanation:


Introduction / Context:
When total payment is split among contributors, the share is proportional to the total man-hours supplied (assuming equal productivity). Compute each party’s man-hours, take the fraction for C, and multiply by the total payment.


Given Data / Assumptions:

  • A: 20 men × 8 h/day × 6 days.
  • B: 15 men × 9 h/day × 7 days.
  • C: 10 men × 6 h/day × 8 days.
  • Total payment = ₹ 636.


Concept / Approach:
Share ∝ man-hours. Compute A, B, C man-hours; then C’s share = (C man-hours / total man-hours) * 636.


Step-by-Step Solution:

A man-hours = 20 * 8 * 6 = 960.B man-hours = 15 * 9 * 7 = 945.C man-hours = 10 * 6 * 8 = 480.Total man-hours = 960 + 945 + 480 = 2385.C’s fraction = 480 / 2385 = 32 / 159.C’s share = 636 * (32/159) = 128.


Verification / Alternative check:
Proportionality method is standard for wage division; arithmetic confirms exact ₹ 128.


Why Other Options Are Wrong:
Other values do not match the man-hour proportion 32/159.


Common Pitfalls:
Using men × days only and forgetting the hours factor; rounding mid-step.


Final Answer:
₹ 128

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