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1. Simplify the ratio 42 : 63.
2. Ron gets 20% more marks than John. Find the ratio
of their marks.
3. Divide $490 in the ratio 4 : 3.
4. A man distributes his savings of $4000 among his
three sons, in the ratio 4 : 3 : 3. Find the amount
received by his first son.
5. If the ratio a : b = 2 : 3, and b : c = 3 : 4.
Find the ration a : c.
6. There are two numbers. Five times the first, and
four times the second are equal. Find the ratio of
the two numbers.
(a) 5 : 4 (b) 4 : 5
7. Find the fourth proportion of 4, 9 & 12
(a) 18 (b) 36 (c) 72 (d) 27 (e) 24
8. Find the third proportion of 16 and 36
(a) 81 (b) 144 (c) 196 (d) 64 (e 100
9. The ratio of two positive numbers is 4 : 7.. If the
difference of the numbers is 15, find the larger
number.
(a) 25 (b) 30 (c) 20 (d) 35
10. Sub-duplicate ratio of 9 : 16
(a) 81 : 256 (b) 27 : 64 (c) 9 : 16 (d) 3 : 4
11. The mean proportion of 16 and 9 is ___________.
Ratio and Proportion Worksheets
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12. Find the duplicate ratio of 4 : 5.
13. The total number of male and femal employees in
a company are 60. Which of the following represent
the ratio of male and female employees in the
company.?
(a) 1 : 4 (b) 4 : 3 (c) 1 : 6 (d) 5 : 3
14. The LCM of two numbers is 160, and their
ratio is 4 : 5. Find the largest of the two numbers.
(a)40 (b) 45 (c) 20 (d) 15
15. If a/2 = b/3 = c/4. Find the ratio a : b :
c.
16. x/4 = y/3. Find the ratio (x + 4) : ( y + 3).
17. In a class 20% of the boys is equal to 1/4
th
of
the girls. What is the ratio of the boys and girls in
the class.
18. Find the compound ratio of 2 : 3 and 5 : 4.
19. The sum of five times the first number and two
times the second number is equal to twice the
difference of thrice of the first number and twice the
second. Find the ratio of the two numbers.
(a) 1 : 6 (b) 6 : 1 (c) 2 : 1 (d) 3 : 4
20. If 60 men do a piece of work in 27 days, then in
how many days can 18 men do the same work?
(a) 120 days (b) 90 days (c) 100 days (d) 60 days
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1)
2 : 3
2)
6 : 5
3)
.$210
4)
1600
5)
1 : 2
6)
(b) 4 : 5
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7)
27
8)
(a) 81
9)
(d) 35
10)
(d) 3 : 4
11)
12
12)
16 : 25
13)
(a) 1 : 4
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14)
(a) 40
15)
2 : 3 : 4
16)
4 : 3
17)
5 : 4
18)
5 : 6
19)
(b) 6 : 1
20)
(b) 90 days
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1. Proportions are often used in
day to day business world.
Demand and price are in direct
proportion, and production and
price of a commodity are in
inverse proportion.
2. Ratio of water and land on the
earth is 29 : 71.
3. The ratio of carbon to oxygen in
carbon dioxide is 2.66 : 1