Question

A can finish a work in 15 days and b can finish a work in 30 days. If c can join them they can finish the work in 5 days. If the salary paid is rs.30000 then what is the c share

Answer 1

let C can finish the work in x days .

A's 1 day's work = 1 /15 units

B's 1 days work = 1 / 30 units

C's 1 day's work = 1 /x units .

if they worked together :
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(A + B + C)'s 5 days work = 1 (finished)

(A + B + C )'s 1 day's work = 1 /5 units

(1 /15 ) + (1 /30 ) + (1 / x ) = 1/ 5

(30x + 15x + 450 ) = 450x ÷ 5

45x + 450 = 90x

45x = 450 => x = 10 days

C can finish the same work in 10 days.

Find C's 1 day's work:
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C's 1 day's work = 1 / 10 units

since,they finished the work together in 5 days . then

Find the work of C :
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C's 5 days' work = (5 × 1)/10 = 1/ 2 units

it means when they worked together then C finished half of the work . so his share of money should be half of the total money paid to them .

Find the share of C:
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total salary paid to them = ₹30,000

share of C = ( 1 × 30,000) / 2 = ₹ 15,000

therefore , share of C is ₹15,000

Answer : C's share = ₹15,000

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