Question

A can do a work in 6days and b in 8 days. if a and b do it for 3200 and with the help of c they finish work in 3 days. find how much is paid for c

Answer 1

A = 6 days

B = 8 days

lcm = Work

6 and 8 lcm = 24 unit

A work in one days = 24/6 = 4 unit

B = 24/8 = 3 unit

together do in per days work is

4 + 3 = 7 unit

but help of C together do in 3 days

24/3 = 8 unit per days

C work in one days = ( A + B + C ) - ( A + B )

= 8 - 7 = 1 unit

C in 3 days = 3 × 1 = 3 unit

A : B : C

4 × 3 : 3 × 3 : 1 × 3

= 12 : 9 : 3

= 12x + 9x + 3x = 24x

money distribute in the ratio

3200 = 24X

X = 3200/24 = 133.33₹


C = 3X

3 × 133.333 = 400₹