A, B, and C contract a job for Rs. 550. Together, A and B are expected to complete 7/11 of the work. What is C’s monetary share?

Introduction / Context:
Payment is distributed in proportion to the work each party is supposed to accomplish. If A and B together handle a known fraction, the remainder belongs to C, and so does the corresponding money share.

Given Data / Assumptions:

• Total contract value = Rs. 550.
• A + B are to perform 7/11 of the work.
• C’s share corresponds to the remaining 4/11 of the work.

Concept / Approach:
Money share ∝ work share. So C’s money = (4/11) * 550 because 1 − 7/11 = 4/11.

Step-by-Step Solution:
C’s fraction = 1 − 7/11 = 4/11. C’s share = (4/11) * 550 = 4 * 50 = Rs. 200 (since 550/11 = 50).

Verification / Alternative check:
A + B together get (7/11) * 550 = Rs. 350. Rs. 350 + Rs. 200 = Rs. 550, matching the total payment.

Why Other Options Are Wrong:
Rs. 300 and Rs. 400 do not equal 4/11 of 550. “1831/3” is not a valid amount for this exact fraction and total.

Common Pitfalls:
Confusing the fractional remainder or miscomputing 550/11. Always subtract the completed fraction from 1 to get the remainder for C.

Final Answer:
Rs. 200