Worksheet on Concept of Ratio has problems on part-to-part, part-to-whole ratios, reducing ratios, dividing quantities, generating equivalent ratios, and more. Practice the questions in the Ratio Worksheet and solidify your understanding of the topic. We have included several questions in different formats to keep your learning process engaging and interesting. These Math Worksheets on Ratio Concept follow a stepwise format for explaining the questions so that you don’t feel any difficulty in understanding them.

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I. A group of friends went out for dinner. 13 of the diners ordered vegetarian food and 15 ordered non-vegetarian food. What is the ratio of the number of vegetarian meals to the number of nonvegetarian meals?

Solution:

Given,
No. of people ordered vegetarian food=13
No. of people ordered nonvegetarian food=15
The ratio of the number of vegetarian meals to the number of nonvegetarian meals=13/15
Hence, the ratio of the number of vegetarian meals to the number of nonvegetarian meals is 13/15.

II. In the group of 60 people, 40 people are educated and the remaining people are not educated. What is the ratio of the number of people who are not educated to those who are educated?

Solution:

Given,
No. of people in the group=60
No. of educated people=40
No. of noneducated people=60-40=20
The ratio of non educated people to educated people is=20/40=1/2
Hence, the ratio of non-educated people to educated people is 1/2.

III. 150 employees were working on the computer and 50 employees were playing games on their computers. What is the ratio of the number of employees playing games on the computer to the number of employees working on the computer?

Solution:

Given,
No. of employees playing working on the computer=150
No. of employees playing games on the computer=50
The ratio of number of employees playing games to the number of employees working on the computer=50/150=1/3
Therefore, the ratio of the number of employees playing games to the number of employees working on the computer is 1/3.

IV. The ratio of coins to notes in the handbag is 2: 5. If there are a total of 12 coins, find the number of notes in the handbag?

Solution:

Given,
The ratio of coins to notes in the handbag is= 2: 5
Let the number of coins be 2x.
Let the number of notes in the handbag=5x
No. of coins=12
2x=12
x=12/2=6
Number of notes in the hand bag=5x=5(6)=30
Hence, no. of notes in the handbag is 30.

V. In a minibus there are 30 seats, there are 18 occupied seats on the bus, remaining are empty. What is the ratio of the number of occupied seats to the number of empty seats?

Solution:

Given,
No. of seats=30
No. of occupied seats=18
No. of empty seats=30-18=12
The ratio of number of occupied seats to empty seats=18/12=6/4=3/2
Hence, the ratio of occupied seats to empty seats is 3/2.

Vi. In a box, there are oranges and apples. The ratio of oranges and apples is 3:5. If there are 18 oranges, find the number of apples?

Solution:

Given,
No. of oranges=18
The ratio of oranges and apples is= 3:5
Let the number of oranges be 3x.
Let the number of apples be 5x.
3x=18
x=18/3=6
No. of apples=5x=5(6)=30
Hence, there are 30 apples in the box.

Vii. Jay carries a bag of rice which weighs 50 kilograms. If he is going to reduce his bag weight in the ratio 6 : 5, find his new weight of the bag?

Solution:

Given,
Jay carries a bag of rice which weighs= 50 kilograms
Jay reduces his bag weight in the ratio=6:5
Apply the formula, If a quantity increases or decreases in the ratio a:b then-new quantity=b. original quantity/a
New weight=5.50/6=41.66
The new weight of the bag is 41.66 kg.

Viii. If the angles of a triangle are in the ratio 4:6:10, then find the angles?

Solution:

Given that,
Angles of the triangles are in the ratio 4 : 6 : 10, the three angles can be assumed to be
4x, 6x, 10x
In any triangle, sum of the angles = 180
So, we have 4x + 6x + 10x = 180°
20x = 180
x = 9
Then, we have
The first angle = 4x = 4 ⋅ 9 = 36°
The second angle = 6x = 6 ⋅ 9 = 54°
The third angle = 10x = 10 ⋅ 9 = 90°
Therefore, the three angles of the triangle are 36°, 54°, 90°.

IX. Sanjay, Sunil, and Sudheera are three friends. The ratio of average salaries of A and B is 3 : 5and that between A and C is 7: 8. Find the ratio between the average salaries of B and C?

Solution:

From A : B = 3 : 5 and A : C = 7 : 8, we find A in common.
The values corresponding to A in both ratios are different.
First, we have to make them be the same.
Value corresponding to A in the 1st ratio = 3
Value corresponding to A in the 2nd ratio = 7
LCM(3,7)=21
First ratio —-> A : B = 3 : 5 = (3 ⋅ 7) : (5 ⋅ 7) = 21 : 35
Second ratio —-> A : C = 7 : 8 = (7 ⋅ 3) : (8 ⋅ 3) = 21 : 24
Clearly,
A : B = 21 : 35 ———– (1)
A : C = 21 : 24 —————(2)
Now, the values corresponding to A in both ratios are the same.
From (1) and (2), we get
B : C = 35 : 24
Hence, the ratio between the average salary of B and C is 35:24

X. Two numbers are respectively 40% and 60% are more than a third number, Find the ratio of the two numbers?

Solution:

Let “x” be the third number.
Then, the first number is
= (100+40)% of x
= 140% of x
= 1.4x
The second number is
= (100+60)% of x
= 160% of x
= 1.6x
The ratio between the first number and second number is
= 1.4x : 1.6x
= 1.4 : 1.6
= 14 : 16
= 7 : 8
Hence, the ratio of the two numbers is 7: 8.