WORK & WAGES

Work and Wages

Work and Wages problems are simpler to solve in quantitative aptitude.

Money earned by a person for a certain work is called wage of the person for that work.

Points to remember

1. Wages are directly proportional to the work done.  That means more work – more money.
2. Wages are inversely proportional to the time taken to complete the work. That means more time – less money.

Work and Wages problems can be understood by examining some solved examples.

Example

Mayank can do a piece of work in 3 days while Sanjay can do the same work in 4 days. The wage for the full work is Rs 350. If they both work together to complete the work then find the earnings of Mayank and Sanjay.
Sol:

Mayank’s 1 day’s work = 1/3
Sanjay’s 1 day’s work = 1/4

Wages are directly proportional to the work done.

So, Mayank’s Wage : Sanjay’s Wage = 1/3 : 1/4
Mayank’s Wage : Sanjay’s Wage = 4 : 3

Now, total wage is 350 Rs.

See Example

Shahrukh alone can finish a work in 4 days while Salman alone can finish it in 6 days. If they both work together to finish it, then out of total wages of 18000, what will be the 20% of Shahrukh’s share?
Sol:

Shahrukh’s 1 day’s work = 1/4
Salman’s 1 day’s work = 1/6

Wages are directly proportional to the work done.

So, Shahrukh’s share : Salman’s share = 1/4 : 1/6
Shahrukh’s share : Salman’s share = 6 : 4

So 20% of Shahrukh’s wage = 2160

Example

Rahul, Rohit and Rohan can do a piece of work in 3, 4 and 6 days, respectively. Doing that work together, they get an amount of 675 rupees. What is the share of Rohan in that amount.
Sol:

Rahul’s 1 day’s work = 1/3
Rohit’s 1 day’s work = 1/4
Rohan’s 1 day’s work = 1/6
Rahul’s share : Rohit’s share : Rohan’s share

= 4 : 3 : 2
So, Rohan’s Wage

Rohan’s wage is 150 rupees.

Example

Sunil can do a piece of work in 2 days while Saurav can do it in 3 days. They work together for a day and rest of the work is done by Sachin in 1 day. If they get 1800 rupees for the whole work then find the wage of Sachin.
Sol:

Sunil’s 1 day’s work = 1/2
Saurav’s 1 dau’s work = 1/3
Sunil and Saurav’s 1day’s work = 1/2 + 1/3 = 5/6
Remaining work done by Sachin = 1 – 5/6 = 1/6
(Have doubt? Then refer time & work)
So, Sunil’s share : Saurav’s share : Sachin’s share 

= 3 : 2 : 1
So wage of Sachin,



Sachin’s wage is 300 rupees.