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

- Wages are directly proportional to the work done. That means more work – more money.
- 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.

**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.

**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

**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.

**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

= 3 : 2 : 1

So wage of Sachin,

Sachin’s wage is 300 rupees.