Question

A,B and C together do a piece of work for Rs.53.50. A working alone could do it in 5days, B working alone could do it in 6days and C working alone could do it in 7days. How should the money be divided among them ?

Answer 1

Solution:-

Let work done by A in a day =
$\frac{1}{5}$
work done by b in a day =
$\frac{1}{6}$
Let work done by c in a day =
$\frac{1}{7}$
total work done by 3 of them in a day =
$\frac{1}{5} + \frac{1}{6} + \frac{1}{7} = \frac{42 + 35 + 30}{210} \\ = \frac{107}{210}$
Total earning on completion of job = 53.50
A's share of earning =
$\frac{ \frac{1}{5} }{ \frac{107}{210} } = \frac{42}{107} \times 53.50 \\ = 21 \: rs$
B's share of earning =
$\frac{ \frac{1}{6} }{ \frac{107}{210} } = \frac{35}{107} \times 53.50 = 17.50 \: rs$
C's share of earning =
$\frac{ \frac{1}{7} }{ \frac{107}{210} } = \frac{30}{107} \times 53.50 = 15 \: rs$
hence we should be 21 , 17.50 , 15 money divides by among A , B , C .


■I HOPE ITS HELP■

Answer 2

A can do work in 5 days.
B can do work in 6 days.
C can do work in 7 days.
∴ ratio of doing work by them is 5 : 6 : 7
∴ ratio of part of work doing by them 1/5 : 1/6 : 1/7 = 42 : 35 : 30
∴ ratio of sharing money between A , B and C = 42 : 35 : 30

Now, A got money = 53.5 × 42/(42 + 35 + 30)
= 53.5 × 42/107
= 21 Rs.

B got money = 53.5 × 35/(42 +35 + 30)
= 53.5 × 35/107
= 17.5 Rs.

C got money = 53.5 × 30/(42 + 35 + 30)
= 53.5 × 30/107
= 15 Rs.