Ratio and Proportions Practice Questions - Basic

Last Updated : 23 Jul, 2025

Ratio and Proportion are fundamental concepts in mathematics while a Ratio is a comparison of two quantities of the same unit. Proportion is an equation that states that two ratios are equal. In other words, it compares two ratios to show that they represent the same relationship between quantities.

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Solved Practice Questions on Ratio and Proportions - Basic

Question 1: What is the ratio of 10 to 15 in its simplest form?
Solution:

The ratio in its simplest form is: 10/15
Upon Simplification : 10/15 = 2/3

Answer: 2:3

Question 2: Express the ratio of 25 minutes to 1 hour in simplest form.
Solution:

1 hour = 60 minutes.
The ratio is 25/60, which simplifies by dividing both by 5:

25/60 = 5/12

Answer: 5:12

Question 3: In a basket, there are 6 apples and 4 oranges. What is the ratio of apples to oranges?
Solution:

The ratio is 6/4​, which simplifies by dividing both by 2:
6/4 = 3/2

Answer 3:2

Question 4: Arrange the Following in the ascending order- 2 : 1, 3 : 2, 5 : 2, 8 : 3, 9 : 5.
Solution:

To arrange the ratios in ascending order, we first convert them to decimal form:

  • 2 : 1 = 2/1 = 2
  • 3 : 2 = 3/2 = 1.5
  • 5 : 2 = 5/2 =2.5
  • 8 : 3 = 8/3 ≈ 2.67
  • 9 : 5 = 9/5 = 1.8

Answer: So, the ratios in ascending order are:
3 : 2, 9 : 5, 2 : 1, 5 : 2, 8 : 3

Question 5: Divide 4500 among A, B, and C in the ratio 4 : 6 : 10.
Solution:

To divide 4500 among A, B, and C in the ratio 4:6:10, first find the total parts:
Total parts = 4 + 6 + 10 = 20

Now, divide 4500 by 20 to find the value of each part:
Each part = 4500 ÷ 20 = 225

Now, multiply each part by the respective ratio:

  • A = 4 × 225 = 900
  • B = 6 × 225 = 1350
  • C = 10 × 225 = 2250

Answer:

So, the division is:

  • A gets 900
  • B gets 1350
  • C gets 2250

Question 6: The ratio of boys to girls in a class is 5:6. If there are 30 boys, how many girls are there in the class?
Solution:

The ratio is 5:6. Let the number of girls be x.
Using the proportion:
5/6 = 30/x
​Cross-multiply to solve for x: 5x = 6 × 30 = 180 ⇒ x = 180/5 = 36

Answer: 36 girls

Question 7: Solve for x: 4/7 = x/14.
Solution:

To solve: 4/7 = x/14
Cross-multiply to solve for x:
4 × 14 = 7 × x
⇒56 = 7x
⇒ x = 56/7 =8

Answer: 8

Question 8: The proportion of red marbles to blue marbles in a jar is 3:7. If there are 24 red marbles, how many blue marbles are there?
Solution:

Set up the proportion: 3/7 = 24/x
​Cross-multiply to solve for x:
3x = 7 × 24 = 168
⇒x = 168/3 = 56

Answer: 56 blue marbles

Unsolved Practice Questions on Ratio and Proportions

Question 1: What is the ratio of 10 to 15 in its simplest form?

Question 2: Express the ratio of 25 minutes to 1 hour in simplest form.

Question 3: In a basket, there are 6 apples and 4 oranges. What is the ratio of apples to oranges?

Question 4: The ratio of boys to girls in a class is 5:6. If there are 30 boys, how many girls are there in the class?

Question 5: If the ratio of the ages of two brothers is 3:4 and the older brother is 12 years old, how old is the younger brother?

Question 6: If 3 pencils cost $1, how much will 9 pencils cost?

Question 7: Divide 7200 among X, Y, and Z in the ratio 3 : 5 : 7.

Question 8: Arrange the following in Descending Order- 1 : 3, 2 : 5, 7 : 4, 8 : 5, 9 : 2.

Question 9: Solve for x: 4/7 = x/14.

Question 10: The proportion of red marbles to blue marbles in a jar is 3:7. If there are 24 red marbles, how many blue marbles are there?

Answer key

  1. 2:3
  2. 5:12
  3. 3:2
  4. 36 girls
  5. 9 years old
  6. $3
  7. X = 1440, Y = 2400, Z = 3360.
  8. 9 : 2, 7 : 4, 8 : 5, 2 : 5, 1 : 3.
  9. 8
  10. 56 blue marbles
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