Aptitude - Time and Work - Discussion

A finish work in day = 6,

B finish work in day = 8,

LCM = 24.

A doing work in one day = 24/6 = 4,

B doing work in one day = 24/8 = 3,

If both are work together, so one day work = 4 + 3 = 7.

So, one day work = 7/24,

In three day = 3(7/24),

A and B combined rupee = 21/24*3200 = 2800.

So, C = 3200 - 2800 = 400.

Please suggest me, this is true or wrong.

Please explain from where 1/24 came?

3*1/24*3200.
How it come, normally we add all the ratio and the ratio is 4:3:1.

How I find the share of A and B?

You can directly write there 4x+3x+x=3200, then you also got x=400.

Why we required for ratio of wages in this question?

For what purpose we need to find ratio of wages for this question?

If 3200 is taken for the complete the entire job, why did we multiply C's share i.e. 1/24 by 3?

Because 3200 is not a per day income, it's a fixed income.

The last portion can also be explained as:

Since the ratio of the wages of A:B:C came as 4:3:1 respectively, it's obvious that the proportion of C is 1/8 i.e. 1/4+3+1 = 1/8.

Since the total amount is Rs. 3200, the portion or the amount received by C is 1/8 X 3200 = 400.

Similarly portions of other members are: A's 4/8 X 3200 = 1600.

B's 3/8 X 3200 = 1200.

From given:

A+B+C can complete a work in 3 days and they will get amount 3200 for 3 days.

So A, B, C work for 3 days.

A one day work is 1/6.

B one day work is 1/8.

C one day work is, we have to find out.

A+B+C one day work is 1/3 because A, B, C complete a work in 3 days.

So A+B+C one day work = 1/6+1/8+1/C.

1/3 = 1/6+1/8+1/C.

1/C = 1/24 so "C" one day work is 1/24.

A's 3 days work is 3/6 and he will get the amount is 3/6*3200 = 1600.

B's 3 day work is 3/8 and he will get 3/8*3200 = 1200.

C's 3 day work is 3/24 and he will get 3/24*3200 = 400.

C's 1 day work = 1/3-{1/6+1/8} = 1/24.

A:B:C = 1/6*24:1/8*24:1/24*24.

= 4:3:1.

C share = Rs. [Day he worked*Part of work he did*Total share].

= Rs. {3*1/24*3200}.