A and B start a business with investments of Rs 36,000 and Rs 63,000 respectively. C joins them on the condition that the whole profit will be shared in the ratio 1 : 1 : 1. For this, C pays Rs 55,000 to A and B together. How much of this amount does B receive (in Rs)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 50000
To share the profit equally, A and B each give up part of their share of the business to C. C’s payment is divided between them in the ratio of what each one gives up.
Total capital \(=36000+63000=\) Rs 99,000, so an equal one-third share \(=\) Rs 33,000
A gives up \(36000-33000=\) Rs 3,000
B gives up \(63000-33000=\) Rs 30,000
A : B (amounts given up) \(=3000:30000=1:10\)
B receives \(\displaystyle =\frac{10}{11}\times55000=\) Rs 50,000
B receives Rs 50,000 (and A receives Rs 5,000).
Why the other options are incorrect
Option (1) 5000 — Incorrect. This is the amount A receives.
Option (2) 25000 — Incorrect. B gave up ten times as much as A, so his part must be ten-elevenths of Rs 55,000, not about half.
Option (3) 40000 — Incorrect. It would leave Rs 15,000 for A, which does not keep the ratio 1 : 10 of the parts given up.