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A, B and C Can Do a Piece of Work in 20, 24 and 30 Days, Respectively. They Undertook to Do the Piece of Work for ₹5400. They Begin the Work Together but B Left 2 Days before the Completion of Work - Mathematics

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MCQ

A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for ₹5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. The share of A from the assured money is

Options

  • ₹2700

  • ₹540

  • ₹1800

  • ₹600

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Solution

₹2700
Explanation:
Let the number of days to complete the work be x, then

`x/20+(x-2)/24+(x-5)/30=1`

⇒ `(6x+5(x-2)+4(x-5))/120=1`

⇒ 6x + 5x + 4x = 120 + 10 + 20

⇒ 15x = 150

∴ x = 10

Now. work done by A = `10/20=1/2`

So, share of A from the assured money

= `1/2xx5400=`₹2700

 

Concept: Time and Work (Entrance Exam)
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