Question

A and B undertake to do a piece of work for Rs. 5000. An alone can do it in 8 days while B alone can do it in 15 days. With the help of C, they finish it in 4 days. Find the share of each

Answer 1

Step-by-step explanation:

steps are 5000×8÷15+4

Answer 2

Answer:

As given below

Step-by-step explanation:

Given data  

A and B undertake a piece of work for 5000 Rs  

Let x be the piece of work

the payment for x work = Rs.5000

A can do the work in 8 days

⇒ the work can be done by A in 1 day = $\frac{x}{8}$  

B can do the work in 15 days

⇒ the work can be done by B in 1 day = $\frac{x}{15}$

With help of C they can finish it in 4 days  

here we need to calculate share of A, B and C in Rs.5000

given that A, B finished the work with help of C in 4 days

the work can be done by A in 4 days = $4( \frac{x}{8} )$ = $\frac{x}{2}$    

the work can be done by B in 4 days  = $4(\frac{x}{15})$ = $\frac{4x}{15}$  

the total work done by A and B together in 4 days = $\frac{x}{2} + \frac{4x}{15}$

                                                                          = $\frac{15x + 8x }{30}$  = $\frac{23x}{30}$                                                                                                            

the work can be done C  = x - $\frac{23x}{30}$  

                                          = $\frac{30x-23x}{30}$ = $\frac{7x}{30}$    

⇒ The share of A, B and C are

Share of A  =   $\frac{5000}{x} (\frac{x}{2} )$  =  2500 Rs.

Share of B  =   $\frac{5000}{x} ( \frac{4x}{15} )$ = 1333.33 Rs.

Share of C = $\frac{5000}{x} (\frac{7x}{30} )$  =  1166.67 Rs.