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Shyam KoppoJu

· started a discussion

· 1 Months ago

Give the complete soln

Question:

Ram can do a certain work in 15 days while Chandan can do it in 25 days. Both work together and finish the work. In what ratio should the total earnings be divided between them? 

Options:
A)

 

3:5

B)

2:5

C)

5:2

D)

5:3

E)

None of these 

Solution:

Ans: (d)

Work = LCM (15, 25) = 75 units 

Work done in a day: 

Ram = 5 units/day 

Chandan = 3 units/day 

As both work together and finish the work so, their earnings are in the ratio of work done by them i.e. 5:3


Alternate method-


The ratio in which the wages are divided is in inverse proportion to the time taken by them  to do the work alone.

Required ratio = Ram's Wages : Shyam's Wages = \(\left ( \cfrac {X}{x+y} \right )\times y : \left ( \cfrac {X}{x+y} \right )\times x \)= 25:15 = 5:3

Knowledge Expert

· commented

· 1 Months ago

Its so simple...you must answer this in 10 seconds....

See sol:

The ratio in which the wages are divided is in inverse proportion to the time taken by them to do the work alone.

Required ratio = Ram's Wages : Shyam's Wages = {X/(x+y)}*y : {X/(x+y)}*x = 25:15 = 5:3

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