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A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.?
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A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work ...
Given Information:
- A can do a piece of work in 20 days.
- B can do 80% of the same work in 30 days.
- A and B work together for the entire time.
- They get paid Rs.1610.
Step 1: Calculate the Efficiency of A and B
Efficiency is calculated as the work done per day.
Efficiency of A = 1/20 = 0.05 work/day
Efficiency of B = 0.8 work/30 days = (0.8/30) work/day = 0.02667 work/day
Step 2: Calculate the Total Work
Since A and B work together for the entire time, the total work done is equal to the work done by A in 20 days.
Total Work = Efficiency of A * Number of Days taken by A = 0.05 work/day * 20 days = 1 work
Step 3: Determine the Ratio of Work Done by A and B
Since A and B work together, their work done ratio is equal to their efficiency ratio.
Work done by A : Work done by B = 0.05 : 0.02667 = 1.875 : 1
Step 4: Calculate the Share of A
The share of A can be calculated using the ratio of work done by A to the total work and the total payment received.
Share of A = (Work done by A / Total Work) * Total Payment
= (1.875 / (1.875 + 1)) * Rs.1610
= (1.875 / 2.875) * Rs.1610
= 0.6513 * Rs.1610
≈ Rs.1048.84
Step 5: Final Answer
The share of A in the payment of Rs.1610 is approximately Rs.1048.84.
- A can do a piece of work in 20 days.
- B can do 80% of the same work in 30 days.
- A and B work together for the entire time.
- They get paid Rs.1610.
Step 1: Calculate the Efficiency of A and B
Efficiency is calculated as the work done per day.
Efficiency of A = 1/20 = 0.05 work/day
Efficiency of B = 0.8 work/30 days = (0.8/30) work/day = 0.02667 work/day
Step 2: Calculate the Total Work
Since A and B work together for the entire time, the total work done is equal to the work done by A in 20 days.
Total Work = Efficiency of A * Number of Days taken by A = 0.05 work/day * 20 days = 1 work
Step 3: Determine the Ratio of Work Done by A and B
Since A and B work together, their work done ratio is equal to their efficiency ratio.
Work done by A : Work done by B = 0.05 : 0.02667 = 1.875 : 1
Step 4: Calculate the Share of A
The share of A can be calculated using the ratio of work done by A to the total work and the total payment received.
Share of A = (Work done by A / Total Work) * Total Payment
= (1.875 / (1.875 + 1)) * Rs.1610
= (1.875 / 2.875) * Rs.1610
= 0.6513 * Rs.1610
≈ Rs.1048.84
Step 5: Final Answer
The share of A in the payment of Rs.1610 is approximately Rs.1048.84.
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A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.?
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A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.?.
A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A’ can do a piece of work in 20 days. ‘B’ can do 80% of the same work in 30 days. If they work together for the entire time and get paid Rs.1610, then find the share of ‘A’.?.
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