Question

A, b and c each of them working alone can complete a job in 10, 12 and 15 days respectively. if all three of them work together to complete a job and earn rs. 6000, what will be c's share of the earnings?

Answer 1

Divide the total by 10, 12, 15 so you get 600, 500, and 400. The total is 1500 so multiply each value by 4 (6000÷1500=4). C's share would be 400*4 which is 1600.

Answer 2

Answer:

C's share is Rs 520.

Step-by-step explanation:

Given : A, B and C each of them working alone can complete a job in 10, 12 and 15 days respectively. If all three of them work together to complete a job and earn Rs. 6000.

To find : what will be C's share of the earnings?

Solution :

A can complete the work in 10 days

$1 \text{ day}=\frac{1}{10}$ of the work

B can complete the work in 12 days

$1 \text{ day}=\frac{1}{12}$ of the work

C can complete the work in 15 days

$1 \text{ day}=\frac{1}{15}$ of the work

Ratio of A : B : C

$\frac{1}{10}:\frac{1}{12}:\frac{1}{15}$

Multiply by 24,

Ratio of A : B : C = 4 : 3 : 2

Let ratio be x,

So, ratio became = 4x : 3x : 2x

4x + 3x + 2x = 2340

9x = 2340

x = 260

Then the values became,

A = 4x = 4(260) = Rs 1040

B = 3x = 3(260) = Rs780

C = 2x = 2(260) = Rs 520

Therefore, C's share is Rs 520.