Remainder of work done by C: A, B, and C agree to do a job for ₹ 480. A and B together complete 5/8 of the work; C alone completes the rest. How much should C receive?

Difficulty: Easy

Correct Answer: ₹ 180

Explanation:


Introduction / Context:
When parts of a job are clearly assigned, the money is fairly split by the fractions of the job each party completes. Here, A and B together do a known portion, and C does the remainder alone; therefore, C’s share is that remainder fraction of the total payment.


Given Data / Assumptions:

  • Total job price = ₹ 480.
  • A and B together do 5/8 of the job.
  • C alone does the remainder 3/8 of the job.


Concept / Approach:
Since C’s work fraction is 3/8 of the whole job, C’s share is 3/8 of the total payment. No rate calculation is required because the fraction is given directly.


Step-by-Step Solution:

C’s job fraction = 1 − 5/8 = 3/8.C’s share = (3/8) * ₹ 480 = ₹ 180.


Verification / Alternative check:
A and B together would then share ₹ 300, which is 5/8 of ₹ 480, consistent with the given breakdown.


Why Other Options Are Wrong:
₹ 177 and ₹ 150 are not equal to 3/8 of ₹ 480; “None” is unnecessary; ₹ 210 corresponds to 7/16, not applicable here.


Common Pitfalls:
Overcomplicating by searching for rates; with explicit fractions, the split is direct.


Final Answer:
₹ 180

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