Question

Two men undertake to do a piece of work for Rs.200. One alone could do it in 6 days, the other In 8 days. With the assistance of a boy they finish it in 3 clays. What is the share of the boy? ​

Answer 1

Answer:

boy = ₹25

Step-by-step explanation:

let the two men be. X & Y

and boy be z

so,

x can do the work in 6 days

y can do the work in 8 days

x+y+z can do the work in 3 days

now let total work be 24 i.e. LCM of 6,8&3

now

efficiency = work/time

so efficiency of

x = 24/6 = 4

y = 24/8 = 3

x+y+z = 24/3 = 8

but

we know efficiency of x is 4 & y is 3

so

efficiency of z = 8 - (4+3) = 8-7 = 1

now

wages of x, y & z = distributed in the ratio of efficiency

so

x = 200 × 4/8 = 800/8 = ₹100

y = 200 × 3/8 = 600/8 = ₹75

z = 200 × 1/8 = 200/8 = ₹25