Question

Babla alone can do a piece of work in 10 days. ashu alone can do it in 15 days. the total wages for the work is rs.5000. how much should be babla be paid if they work together for an entire duration of work

Answer 1

Given that babla can do a piece of work in 10 days.

Work done by Babla in 1-day = (1/10).

Given that Ashu can do a piece of work in 15 days.

Work done by Ashu in 1-day = (1/15).

Amount of work done by them in 1-day = (1/10) + (1/15)

= > (3 + 2)/30

= > (5/30)

= > (1/6).

So, Total work done can be done in 6 days.

Given that Total wages for the work is 5000.

So,

Babla will get = (6/10) * 5000

= > 3000.

Therefore, babla should be paid 3000 rupees.

Hope this helps!

Answer 2

Find amount of work Babla can do in a day:

Babla can do the work in 10 days

⇒ 1 day = 1/10 of the work

Find amount of work Ashu can do in a day:

Ashu can do the work in 15 days

⇒ 1 day = 1/15 of the work

Find the ratio of work done by Babla and Ashu :

Babla : Ashu = 1/10 : 1/15

Multiply both sides by 150:

Babla : Ashu = 15: 10

Divide both sides by 5:

Babla : Ashu = 3 : 2

Find Babla's share of the wages:

Babla : Ashu = 3 : 2

Let x be the constant ratio:

Babla : Ashu = 3x : 2x

Given wages = Rs 5000

3x + 2x = 5000

5x = 5000

x = 1000

Babla's wages = 3x = 3(1000) = Rs 3000

Answer: Babla should be paid Rs 3000