**Unitary Method Worksheet :**

Worksheet given in this section is much useful to the students who would like to practice problems on unitary method.

Before look at the worksheet, if you would like to know the basic stuff about "Unitary Method",

**Problem 1 :**

If 6 note books cost $45, then how much 8 note books costs ?

**Problem 2 :**

The fence of a hospital is to be repainted by a group of workers. If 6 workers can paint 520.2 m of the wall in an hour, then how many meters of the wall will 7 workers paint in an hour ?

**Problem 3 :**

18 mangoes cost $36. If David has $24, how many mangoes can he buy ?

**Problem 4 :**

A Publisher makes 3300 books in the month of November. If they make the same quantity of books every day, then how many books can they make in a leap year ?

**Problem 5 :**

47 baskets of mangoes weigh 16.403 kilograms. Find the weight of 18 baskets of mangoes (Round to 2 digits of decimal).

**Problem 6 :**

We can buy 9 units of a product for $102.60. How much money do we need, if we want to buy 12 units of the same product ?

**Problem 8 :**

8 men can complete a work in 25 days working 5 hours per day. If 5 men can complete the same work in 20 days, how many hours does each man have to work per day ?

**Problem 1 :**

If 6 note books cost $45, then how much 8 note books costs ?

**Solution :**

**Given :** 6 note books cost $45

Cost of one note book is

= 45/6

= $7.50

Cost of 8 note books is

= 8 ⋅ 7.50

= $60

**Problem 2 :**

The fence of a hospital is to be repainted by a group of workers. If 6 workers can paint 520.2 m of the wall in an hour, then how many meters of the wall will 7 workers paint in an hour ?

**Solution :**

**Given : **6 workers can paint 520.2 m of the wall in an hour

Length of the wall can be painted by 1 worker in an hour is

= 520.2 / 6

= 86.7 meters

Length of the wall can be painted by 7 workers in an hour is

= 7 ⋅ 86.7

= 606.9 meters

**Problem 3 :**

18 mangoes cost $36. If David has $24, how many mangoes can he buy ?

**Solution :**

**Given : **18 mangoes cost $36

Cost of one mango is

= 36/18

= $2

No. of mangoes can be bought for $24 is

= 24 / Cost of 1 mango

= 24 / 2

= 12

Hence, David can buy 12 mangoes for $24.

**Problem 4 :**

A Publisher makes 3300 books in the month of November. If they make the same quantity of books every day, then how many books can they make in a leap year ?

**Solution :**

**Given : **The Publisher makes 3300 books in the month of November.

In any year, the month November has 30 days.

Then, no. of books made per day is

= 3300 / 30

= 110

If an year is a leap year, then it would have 366 days.

So, no. of books can be made in a leap years is

= 366 ⋅ 110

= 40,260

**Problem 5 :**

47 baskets of mangoes weigh 16.403 kilograms. Find the weight of 18 baskets of mangoes (Round to 2 digits of decimal).

**Solution :**

**Given : **47 baskets of mangoes weigh 16.403 kilograms.

Weight of 1 basket is

= 16.403 / 47

= 0.349 kilograms

Weight of 18 baskets is

= 18 ⋅ 0.349

= 6.282

≈ 6.28 kilograms

**Problem 6 :**

We can buy 9 units of a product for $102.60. How much money do we need, if we want to buy 12 units of the same product ?

**Solution :**

**Given : **Cost of 9 units of the product is $102.60

Cost of 1 unit of the product is

= 102.60 / 9

= $11.40

Cost of 12 units of the product is

= 12 ⋅ 11.40

= $136.80

**Problem 7 :**

5 men can complete a work in 20 days working 8 hours per day. In how many hours can one man complete the same work ?

**Solution : **

**Given : **5 men can complete the work in 20 days working 8 hours per day.

Number of hours required for one man to complete the same work is

= No. of men ⋅ No. of days ⋅ No. of hours per day

= 5 ⋅ 20 ⋅ 8

= 800 hours

**Problem 8 :**

8 men can complete a work in 25 days working 5 hours per day. If 5 men can complete the same work in 20 days, how many hours does each man have to work per day ?

**Solution : **

**Given : **8 men can complete the work in 25 days working 5 hours per day.

Number of hours required for one man to complete the same work is

= No. of men ⋅ No. of days ⋅ No. of hours per day

= 8 ⋅ 25 ⋅ 5

= 1000 hours

If there are 5 men, then the number of hours that each man has to work to complete the work is

= 1000 / 5

= 200 hours

**Given : **The work has to be completed in 20 days.** **

So, the number of hours that each man has to work per day is

= 200 / 20

= 10 hours

Hence, 5 men can complete the same work in 20 days working 10 hours per day.

Apart from the problems on unitary method given above, if you need more problems on unitary method, please click the following links.

**Worksheet on Word Problems Unitary Method**

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