Question

Question 7 :
Ram and Shyam have been given a task of
painting a house for Rs. 800. With the help
of Rita, they complete the job in just 3
days. Had Ram alone be doing the task, he
would need 6 days. If Shyam alone would
be doing the task, he would need 8 days.
How much money will Rita get?​

Answer 1

Answer

rupees 100

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Answer 2

Answer: Rs. 100

Step-by-step explanation:

Given, that Ram alone can complete the work in 6 days.

Shyam alone can complete the work in 8 days.

so, work done by Ram in one day = 1/6

work done by Shyam in one day = 1/8

⇒ work done by both of them in one day = work done by Ram in one day +  work done by Shyam in one day

⇒ work done by both of them in one day = 1/6 + 1/8

                                                                     = 7/24

work done by both of them in one day is 7/24.

in one day, the amount of work done by all the 3 members = 1/3

now, work done by Rita in one day = 1/3 - 7/24

                                                          = 1/24

so, in one day Rita can complete 1/24 of the job done.

The total work done by Rita in 3 days = 3 × 1/24

                                                               = 1/8

The total work done by Rita in 3 days is 1/8

Share of Rita = 1/8 of the total amount = 1/8 × Rs. 800

                                                                = Rs. 100

Share of Rita = Rs. 100

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