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# 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.

1) 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:
Mayanks 1 days work = 1/3
Sanjays 1 days work = 1/4

Wages are directly proportional to the work done.

So, Mayanks Wage : Sanjays Wage = 1/3 : 1/4
Mayanks Wage : Sanjays Wage = 4 : 3

Now, total wage is 350 Rs.

2)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 Shahrukhs share?
Sol:
Shahrukhs 1 days work = 1/4
Salmans 1 days work = 1/6

Wages are directly proportional to the work done.

So, Shahrukhs share : Salmans share = 1/4 : 1/6
Shahrukhs share : Salmans share = 6 : 4

So 20% of Shahrukhs wage = 2160

3)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:
Rahuls 1 days work = 1/3
Rohits 1 days work = 1/4
Rohans 1 days work = 1/6

Rahuls share : Rohits share : Rohans share

= 4 : 3 : 2

So, Rohans Wage

Rohans wage is 150 rupees.
4)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:
Sunils 1 days work = 1/2
Sauravs 1 daus work = 1/3

Sunil and Sauravs 1days 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, Sunils share : Sauravs share : Sachins share

= 3 : 2 : 1
So wage of Sachin,

Sachins wage is 300 rupees.
5)X and Y can complete a work in 12 days and 10 days respectively. With the help of Z, X
and Y can together complete the work in 5 days for a total wage of Rs.6000. Then what
wage should be paid to Z for his part of work?
a) Rs.1000 b) Rs.1500 c) Rs.500 d) Rs.2000
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