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?

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:

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