Aman and Mohit can completed a work in 24 days and 32 days. They were paid Rs 4800 to complete the work. They begin the working together but Mohit left the work after 8 days. Rest of the work was completed by Aman. Find the share of Aman?

Given:

Aman completes the work = 24 days

Mohit completes the work = 32 days

Total amount paid to them = Rs 4800

No. of days Aman and Mohit worked together = 8 days

Concept:

Wage is directly proportional to the amount of work done. Using efficiency and no. of working days, calculate the work done. Then calculate the amount received.

Formula used:

1 day’s work = 1/(Total days taken to complete the work)

Calculation:

Aman’s 1 day work = 1/24

Mohits 1 day work = 1/32

∵ they worked for 8 days together

∴ 8 days work of Aman = 8/24 = 1/3      ------(1)

8 days work of Mohit = 8/32 = 1/4

Work done by them together = 1/3 + 1/4

= (4 + 3)/12

= 7/12

Unit of remaining work done by Aman = 1 – 7/12

= (12 – 7)/12

= 5/12      ------(2)

From (1) and (2);

Total work done by Aman = 1/3 + 5/12

= 4/12 + 5/12

= 9/12

= 3/4

∴ Amount of Money Aman will get = 4800 × 3/4

= 3600/-