Aptitude - Time and Work - Discussion

Work done by A in one day = 1/6.
Like this of B = 1/8.
The work done by both A and B is 1/6 + 1/8 = 7/24.
3 days work of A and B is 3 * 7/24 = 7/8.

A and B complete 7 parts (for 7/8) of the total work (as we consider the total work is 1),
So, C does 1/8 (which means 1 part of the total work)
So 3200/8 = 400(for each part),
c will be paid 400.

The easiest solution to this question is to find the efficiency of a + b + c - (a + b). You would be getting 1 as c's efficiency.

So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.

Here A work is 6days.
B work is 8 days
Together combined work is 3 days right?
So now total work =LCM of 6, 8, 3 = 24.
So A efficiency or one day of work is 24/6 = 4,
B's efficiency or one day work is 24/8 = 3,
A + B + Cs one day work is 24/3 = 8.
So, we want only C one day of work.
We know;
A + B + C = 8, also know that A is 4, B is 3.
4 + 3 + C = 8,
C = 8 - 7 C's one day work is 1.

Now the total money is 32000.
A + B + C together one day work is 8(see above).
So 32000/8=400.
Here, A part is 4, so 4 * 400 = 1600,
B part is 3, so 3 * 400 = 1200,
C part is 1 * 400 = 400
Asking C part,
So, C get 400rupees.

See,

I hope everyone gets dout on how 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
So first consider this 1/6:1/8:1/24
LCM will be 24 so, then
1/6 × 24 = 4.
1/8 × 24 = 3.
1/24 × 24 = 1.
So, it's 4 : 3 : 1.

Thanks everyone for explaining the answer.

A + B + C = 1/3
1/6 + 1/8 + 1/x = 1/3.
(4+3)/24 + 1/x = 1/3.
1/x = 1/3 - 7/24
1/x = (8-7)/24
1/x = 1/24.

Therefore x= 24.
Now 1/6 : 1/8 : 1/24.
4/24 : 3/24 : 1/24,
4 : 3 : 1.
So C share is 1 total share 8
C's share = (3200/8 ) *1,
= 400*1,
= 400.

Here the ratios of 1/6 : 1/8 : 1/24 do not equal the ratios 4:3:1 as shown in the explanation, there seems to be a mistake in the calculation, it comes to values 3 : 4 : 12.

The Lcm of 6 and 8 is 24(total work) the A = 4 and B = 3.
Given 3(A+B+C) = 24.
By substituting A and B values C = 1.
The ratios of A, B, C are 4:3:1.
C's share is = 1/8 × 3200 = 400.

A + B + C = 1/3.
A + B = 1/6 + 1/8 = 7/24,
C = 1/3 - 7/24 = 1/24,
C's share 3 days of work = 3 * 3200/24 = 400.

1/6 + 1/8 + 1/C = 1/3.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.