Question

ABC can take rupees 535 for doing a piece of work together if working alone each takes 5 days 6 days and 7 days respectively then what is the share of a

Answer 1

Answer:

a's share is 210 rupees

Answer 2

Answer:

Share of A is rupees 210

Step-by-step explanation:$\frac{1}{5}$

Total amount = ₹535

Number of days taken by A = 5 days

In one day, A does 1/5 of the work

Number of days taken by B = 6 days.

B = 6 days.In one day, B does 1/6 of the work.

Number of days taken by C= 7 days

In one day, C does 1/7th of the work.

Share of A:B:C = one day work of A:B:C

                         = $\frac{1}{5}$: $\frac{1}{6}$: $\frac{1}{7}$

                          = $\frac{42}{210}$: $\frac{35}{210}$ : $\frac{30}{210}$

   Now, the share of A = [tex]\frac{42}{105}[/tex]×Total amount

                                = $\frac{42}{105}$× 535

                                  =214