Unitary Method Questions and Answers: Explained with Solved Examples

The Unitary Method is an important maths concept that helps students solve problems easily. In this article, students will learn that the unitary method finds the value of one unit first, then uses it to find the value of many units.

Table of Contents

• What is Unitary Method?
• Types of Unitary Method
• Unitary Method Questions and Solutions
• Practice Questions on Unitary Method

What is Unitary Method?

The Unitary Method is a mathematical method used to find the value of a single unit first and then calculate the value of multiple units.

Also Check: Unitary Method.

Types of Unitary Method:

Unitary Method Questions and Solutions

1. If 5 pens cost ₹50, what is the cost of 1 pen?

   Solution:

   Cost of 5 pens = ₹50

   Cost of 1 pen:

   505=10

   Answer: ₹10

2. If 8 notebooks cost ₹240, find the cost of 12 notebooks.

   Solution:

   Cost of 1 notebook:

   2408=30

   Cost of 12 notebooks:

   30×12=360

   Answer: ₹360

3. A car travels 180 km in 3 hours. How far will it travel in 5 hours?

   Solution:

   Distance travelled in 1 hour:

   1803=60

   Distance travelled in 5 hours:

   60×5=300

   Answer:300 km

4. If 6 workers can complete a work in 12 days, how many days will 1 worker take?

   Solution:

   6×12=72

   Answer: 72 days

5. If 15 chocolates cost ₹225, find the cost of 20 chocolates.

   Solution:

   Cost of 1 chocolate:

   22515=15

   Cost of 20 chocolates:

   15×20=300

   Answer: ₹300.

6. A train covers 420 km in 7 hours. Find the distance covered in 9 hours.

   Solution:

   Distance covered in 1 hour:

   4207=60

   Distance covered in 9 hours:

   60×9=540

   Answer: 540 km

7. If 12 books cost ₹960, what is the cost of 7 books?

   Solution:

   Cost of 1 book:

   96012=80

   Cost of 7 books:

   80×7=560

   Answer: ₹560

8. If 9 packets contain 180 biscuits, how many biscuits are there in 15 packets?

   Solution:

   Biscuits in 1 packet:

   1809=20

   Biscuits in 15 packets:

   20×15=300

   Answer:300

9. A machine produces 250 bottles in 5 hours. How many bottles will it produce in 8 hours?

   Solution:

   Bottles produced in 1 hour:

   2505=50

   Bottles produced in 8 hours:

   50×8=400

   Answer: 400

10. If 4 meters of cloth cost ₹600, find the cost of 9 meters.

    Solution:

    Cost of 1 meter cloth:

    6004=150

    Cost of 9 meters:

    150×9=1350

    Answer: ₹1350

Practice Questions on Unitary Method

1. If 7 apples cost ₹84, find the cost of 1 apple.
2. If 10 pens cost ₹150, what is the cost of 15 pens?
3. A bus travels 240 km in 4 hours. How far will it travel in 7 hours?
4. If 5 workers complete a task in 20 days, how many days will 1 worker take?
5. If 18 chocolates cost ₹270, find the cost of 25 chocolates.
6. A train covers 360 km in 6 hours. Find the distance covered in 10 hours.
7. If 14 books cost ₹1120, what is the cost of 9 books?
8. If 8 packets contain 160 biscuits, how many biscuits are there in 12 packets?
9. A factory produces 480 toys in 6 hours. How many toys will it produce in 9 hours?
10. If 3 meters of cloth cost ₹450, find the cost of 11 meters.