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A and B undertook to do a piece of work for Rs. 4500. A alone could to it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. Then C’s share of the money is 
  • a)
    Rs. 2250 
  • b)
    Rs. 1500 
  • c)
    Rs. 750 
  • d)
    Rs. 375 
Correct answer is option 'C'. Can you explain this answer?
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A and B undertook to do a piece of work for Rs. 4500. Aalone could to ...
's share in the profit is Rs. 1000.

Solution:
Let's assume that the total work is equal to 24 units (common multiple of 8 and 12).
Then, A can do 3 units of work per day (24 units / 8 days)
And, B can do 2 units of work per day (24 units / 12 days)

Working together, A, B, and C can do 6 units of work per day (24 units / 4 days)

Let's assume that C's share in the profit is x.

A and B's combined share in the profit is (4500 - x).

Now, we can set up the following equation based on work done:

A's work + B's work + C's work = Total work
(3 units/day x 4 days) + (2 units/day x 4 days) + (6 units/day x 4 days) = 24 units
12 + 8 + 24C = 24
24C = 4
C = 1/6

This means that C can do 1/6th of the work in one day (4 days to complete 24 units of work).

Now, we can find C's share in the profit:

C's share in the profit = Total profit x C's contribution to the work
C's share in the profit = Rs. 4500 x (1/6)
C's share in the profit = Rs. 750

However, the question states that C's share in the profit is Rs. 1000. This means that A and B's combined share in the profit must be Rs. 3500 (4500 - 1000).
Let's assume that A's share in the profit is y.
Then, B's share in the profit is (3500 - y).

We can set up another equation based on their individual rates of work:

A's work = Total work / A's rate of work
y = 24 units / (3 units/day)
y = 8

Similarly, we can find B's share in the profit:

B's work = Total work / B's rate of work
(3500 - y) = 24 units / (2 units/day)
(3500 - y) = 12

Solving for y, we get:

3500 - y = 12
y = 3488

Therefore, A's share in the profit is Rs. 8, B's share in the profit is Rs. 492 (3500 - 1000 - 8), and C's share in the profit is Rs. 1000.
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A and B undertook to do a piece of work for Rs. 4500. Aalone could to it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. Then C’s share of the money isa)Rs. 2250b)Rs. 1500c)Rs. 750d)Rs. 375Correct answer is option 'C'. Can you explain this answer?
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A and B undertook to do a piece of work for Rs. 4500. Aalone could to it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. Then C’s share of the money isa)Rs. 2250b)Rs. 1500c)Rs. 750d)Rs. 375Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A and B undertook to do a piece of work for Rs. 4500. Aalone could to it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. Then C’s share of the money isa)Rs. 2250b)Rs. 1500c)Rs. 750d)Rs. 375Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B undertook to do a piece of work for Rs. 4500. Aalone could to it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. Then C’s share of the money isa)Rs. 2250b)Rs. 1500c)Rs. 750d)Rs. 375Correct answer is option 'C'. Can you explain this answer?.
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