Question

A can finish a piece of work in 10 days and B alone can do it in 15 days if we work together and finish it .Then out of the total wages of ₹ 3000 ,a will get? (answer me please guys

Answer 1

$\textbf {Hey there, here is the solution.}$

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A can do the work in 10 days

⇒ 1 day = 1/10 of the work

.

B can do the work in 15 days

⇒ 1 day = 1/15 of the work

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Find the ratio:

Ratio A : B = 1/10 : 1/15

Change the denominator to be the same:

Ratio A : B = 15/150 : 10/150

Divide both ratio by 150:

Ratio A : B = 15: 10

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Find the division of the wages:

Let x be the constant ratio

15x + 10x = 3000

25x = 3000

x = ₹ 120

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Find A's and B's wages:

A = 15x = 15(120) = ₹1800

B = 10 x = 10(120) = ₹1200

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Answer: A will get ₹1800

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⭐$\textbf {Cheers }$⭐

Answer 2

Method - 1:

Given that A can finish a work in 10 days.

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

Given that B can finish a work in 15 days.

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

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Ratio of wages of A and B = (1/10) : (1/15)

= > (1/10) : (15/1)

= > (15/10)

= > 3 : 2

Given that Total wages = 3000.

A will get = 3000 * 3/(3 + 2)

= > 3000 * 3/5

= > 1800.

Therefore, A will get 1800 rupees.

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Method - 2:

= > Work done by A and B in 1-day = (1/10) + (1/15)

= > 5/30

= > 1/6

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

Given Total wages = 3000.

Now,

A's Share = (6/10) * 3000

= > 1800.

Therefore, A will get 1800 rupees.

Hope this helps!