Question

B alone can do piece of work in 10 days. a alone can do it in 15 days. if the total wages for the work is rs 5000, how much should b be paid if they work together for the entire duration of the work

Answer 1

Hi Shravani,

Together their effeciency is
1/15+1/10 = 1/6
now amount to be paid is based on the ratio of their effeciency
so A:B ratio of effeciency is 1/15:1/10
2:3
so 5000/5 = 1000
so A is to be paid 2000Rs
B is to be paid 3000Rs

Hope it helped
Please let me know if any further doubt.
Cheers !!!

Answer 2

The amount to be paid to B is Rs 2000.

Step-by-step explanation:

Given:

The number of days taken by B to finish work = 10 days

The number of days taken by A to finish work= 15 days

The total wages= 5000 rs

To find = the amount to be paid to B

Solution:

Since A and B work together, their efficiency will becomes= 1÷10+1÷15

So,

3+2÷30 = 1÷6

The ratio of work done by Aand B= 1÷15÷1÷10= 2:3

Now, they will be paid based on their individual efficiency.

So, wages to be paid to B= Total wage ×work done by B÷total work done

wages to be paid to B= 5000×3÷5

= 1000×3 = Rs 3000

Result:

Thus, the amount to be paid to B is Rs 2000.

(#SPJ3)