Processing math: 100%

Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Ratio of Two or More Quantities

Practice the questions given in the worksheet on ratio of two or more quantities.

Here the questions are related how to divide a quantity into two parts in a given ratio and similarly, to divide a quantity into three parts in a given ratio.


1. Divide 3570 in the ratio 215 : 35.

2. If a : b = 3 : 8 and c : d = 4 : 9 then find a : d.

3. If x : y = 2 : 3 and y : z = 9 : 8 then find the duplicate ratio of x : z.

4. Divide $ 2880 in the ratio 15 : 215 : 123.

5.  If x : y = 12 : 5 and y : z = 15 : 8 then find the reciprocal ratio of x : z.


6. If x : y = 3 : 4 and y : z = 5 : 6, find: (i) x : z (ii) x : y : z

7. If j : k = 7 : 8, k : l = 15 : 4 and l : m = 16 : 21 then find m : j.

8. If p : q = 13 : 12 and q : r = 14 : 15, find (i) p : r (ii) p : q : r.

9. If a : b = 2 : 5, b : c = 15 : 8 and c : k = 3 : 2 then find the triplicate ratio of a :  k.

10. Find x such that the ratio (28 + k) : (40 + k) = 3 : 4.

11. What should be added to both terms of 17 : 29 so that the ratio becomes 5 : 8?

12. What should be subtracted from both the terms of 19 : 39 So that the ratio becomes 3 : 7?

13. The angles of a triangle are in the ratio 3 : 5 : 10. Find the angles.

14. Find p if (3p + 1) : (5p - 4) is the duplicate ratio of 5 : 6.

15. Find m if (m + 1) : (m - 2) is the reciprocal ratio of 10 : 13.

16. If x : y = 4 : 5 and y : z = 2 : 15, find (i) x : y (ii) x : y : z

17. If a : b = 4 : 7, find the ratios:

(i) (4a + 7b) : (5a - b)

(ii) (3a - b) : (a + b)


18. If x : y : z = 1 : 3 : 5 and z = 25, find x and y.

19. If x : y = 5 : 3, find (5x + 8y) : (6x - 7y).

20. If (4a + 5b) : (a + 3b) = 2 : 1 then find a : b.

21. If (a + b) : (a - b) is equal to the duplicate ratio of 3 : 1 then find a : b.

22. If y(2x - y) : x(6x - y) = 1 : 6 then find ratio then find the ratio y : x.

23. If x : y : z = 15 : 225 : 35 and y = 24, find x and z.

24.  If (a^2 + b^2) : ab = 5 : 2 then find the ratio (a + 2b) : (2a +b).

25. If (m + 3n) : (5m - 2n) = (4m + n) : (8m - 4n), where m ≠ 0, n ≠ 0 then find n : m.

26. If 2x = 5y = 4z, find x : y : z.

27. If the reciprocal ratio of (2x + y) : (x - y) is the ratio (x + 2y) : (3x - 2y) then find the duplicate ratio of a : b.


Answers for worksheet on ratio of two or more quantities are given below.


Answers:


1. $ 2805 and $ 765

2. 1 : 6

3. 9 : 16

4. $ 288, $ 192 and $ 2400

5. 2 : 9

6. (i) 5 : 8

(ii) 15 : 20 : 24

7. 2 : 5

8. (i) 5 : 6

(ii) 10 : 15 : 12

9. 729 : 512

10. 8

11. 3

12. 4

13. 30°, 50° and 100°

14. 8

15. 12

16. (i) 6 : 1

(ii) 12 : 2 : 15


17. (i) 5 : 1

(ii) 5 : 11


18. x : 5, y = 15

19. 49 : 9

20. 1 : 2

21. 5 : 4

22. 2 : 3 or 3 : 2

23. x = 60, z = 180.

24. 4 : 5 or 5 : 4

25. 3 : 2 or 4 : 5

26. 10 : 4 : 5

27. 100 : 1

● Ratio and proportion









10th Grade Math

From Worksheet on Ratio of Two or More Quantities to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  2. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More