Share in contract work: A, B and C contract to complete a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. What should be C’s share of the payment?

Introduction / Context:
Payments in such problems are proportional to the share of work done. If A and B together are responsible for a known fraction of the job, the remainder belongs to C. Multiply C’s fraction by the total contract value to find C’s monetary share.

Given Data / Assumptions:

• Total contract value = Rs. 550.
• Work shares are proportional to payments.
• A + B share of work = 7/11.

Concept / Approach:
C’s work fraction = 1 − 7/11 = 4/11. Therefore, C’s payment = (4/11) * 550. Compute this product directly.

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

Verification / Alternative check:
A + B would then receive 7/11 * 550 = Rs. 350; adding C’s Rs. 200 returns Rs. 550 total.

Why Other Options Are Wrong:
Rs. 1831/3 and Rs. 300 or Rs. 400 do not correspond to the 4/11 fraction of Rs. 550.

Common Pitfalls:
Misinterpreting “supposed to do 7/11” as money instead of work; here payment follows actual work share.

Final Answer:
Rs. 200