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A can complete a work in 15 days and B can complete the same work in 30 days. If they work together and Rs. 1200 is to be distributed among them, Then find the amount A gets.
- a)Rs. 400
- b)Rs. 500
- c)Rs. 800
- d)Rs. 700
- e)Rs. 600
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A can complete a work in 15 days and B can complete the same work in ...
Given information:
A can complete the work in 15 days
B can complete the work in 30 days
To find:
The amount A gets when they work together and Rs. 1200 is to be distributed among them
Formula:
The work done by A in one day = 1/15
The work done by B in one day = 1/30
The work done by A and B together in one day = (1/15) + (1/30) = 3/30 + 1/30 = 4/30 = 2/15
Let's assume that A gets x amount and B gets (1200 - x) amount.
Now, we can set up the following equation based on the work done by A and B:
(2/15) * 1200 = x
Calculation:
(2/15) * 1200 = x
(2/15) * 1200 = 160
Therefore, A gets Rs. 800.
Hence, the correct answer is option C) Rs. 800.
A can complete the work in 15 days
B can complete the work in 30 days
To find:
The amount A gets when they work together and Rs. 1200 is to be distributed among them
Formula:
The work done by A in one day = 1/15
The work done by B in one day = 1/30
The work done by A and B together in one day = (1/15) + (1/30) = 3/30 + 1/30 = 4/30 = 2/15
Let's assume that A gets x amount and B gets (1200 - x) amount.
Now, we can set up the following equation based on the work done by A and B:
(2/15) * 1200 = x
Calculation:
(2/15) * 1200 = x
(2/15) * 1200 = 160
Therefore, A gets Rs. 800.
Hence, the correct answer is option C) Rs. 800.
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Community Answer
A can complete a work in 15 days and B can complete the same work in ...
Given
A and B can complete a work in 15 days and 30 days respectively.
Total amount is Rs. 1200.
Formula used:
Efficiency = 1/Time
The efficiency of A = 1/15
The efficiency of B = 1/30
The ratio of their efficiency = 1/15:1/30
= 2 : 1
So, the ratio of wages is 2 : 1.
Let wage of A be 2x and wage of B be x.
According to question,
2x + x = Rs. 1200
⇒ 3x = 1200
⇒ x = 400
So, wage of A = 2x
= Rs. (2 × 400)
= Rs. 800
∴ A got Rs. 800 for his work.
Hence, the correct option is (C).
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A can complete a work in 15 days and B can complete the same work in 30 days. If they work together and Rs. 1200 is to be distributed among them, Then find the amount A gets.a)Rs. 400b)Rs. 500c)Rs. 800d)Rs. 700e)Rs. 600Correct answer is option 'C'. Can you explain this answer?
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