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 while solving Work and Wages problems

  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.

Work and Wages Shortcut Methods

Work and Wages

 

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

Work and Wages Shortcuts

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

Work and Wages
Work and Wages Shortcut Methods
= 4 : 3 : 2

So, Rohan’s Wage
Work and Wages Shortcuts

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 and work)

So, Sunil’s share : Saurav’s share : Sachin’s share

Work and Wages shortcuts

Work and Wages shortcut methods with example

= 3 : 2 : 1
So wage of Sachin,

Work and Wages

Sachin’s wage is 300 rupees.