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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned ₹ 15,000. Find the share of A?
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A can do a piece of work in 20 days and B can do it in 30 days. They w...
Given:

  • A can do a piece of work in 20 days

  • B can do it in 30 days

  • They worked together for 8 days

  • B left the field

  • The remaining work was completed by A

  • They earned ₹ 15,000



To Find: Share of A

Solution:

  • Let the total work be 60 units (LCM of 20 and 30)

  • A's 1-day work = 60/20 = 3 units/day

  • B's 1-day work = 60/30 = 2 units/day

  • Let the total earnings be divided into two parts: A's earnings and B's earnings

  • Let A's share be x



Calculation of Total Work Done in 8 days:

  • A's work in 8 days = 3 x 8 = 24 units

  • B's work in 8 days = 2 x 8 = 16 units

  • Total work done in 8 days = 24 + 16 = 40 units



Calculation of Remaining Work:

  • Remaining work = Total work - Work done in 8 days = 60 - 40 = 20 units



Calculation of A's Earnings:

  • A completed the remaining work in 20/3 = 6.67 days

  • A's total work = 24 + 20 = 44 units

  • A's earnings for 44 units of work = (44/60) x 15000 = ₹ 11,000



Calculation of B's Earnings:

  • B's work in 8 days = 16 units

  • B's earnings for 16 units of work = (16/60) x 15000 = ₹ 4,000



Calculation of A's Share:

  • A's earnings + B's earnings = ₹ 11,000 + ₹ 4,000 = ₹ 15,000

  • A's share = ₹ 11,000



Answer:

  • Share of A in the earnings of ₹ 15,000 is ₹ 11,000

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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned ₹ 15,000. Find the share of A?
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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned ₹ 15,000. Find the share of A? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned ₹ 15,000. Find the share of A? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned ₹ 15,000. Find the share of A?.
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