Ex 3.1

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Exercise 3.1 Solutions

1. Fill in the blanks

(i) Ratio of ₹3 to ₹5 = 3 : 5

(ii) Ratio of 3 m to 200 c.m = 3 : 2

3 m = 300 cm. Ratio is 300 : 200 = 3 : 2.

(iii) Ratio of 5 k.m 400 m to 6 k.m = 9 : 10

5400 m : 6000 m = 54 : 60 = 9 : 10.

(iv) Ratio of 75 paise to ₹2 = 3 : 8

75 paise : 200 paise = 75 : 200 = 3 : 8.

2. True or False

(i) The ratio of 130 c.m to 1 m is 13 : 10. True

130 cm : 100 cm = 13 : 10.

(ii) One of the terms in a ratio cannot be 1. False

A ratio can contain 1 (e.g., 1 : 2).

3. Find the simplified form

(i) 15 : 20 = 3 : 4

(ii) 32 : 24 = 4 : 3

(iii) 7 : 15 = 7 : 15 (Already simplified)

(iv) 12 : 27 = 4 : 9

(v) 75 : 100 = 3 : 4

4. Ratio of distance

Akilan walks 10 km, Selvi walks 6 km. Ratio = 5 : 3

10 : 6 simplifies to 5 : 3.

5. Ratio of parking cost

Bicycle ₹5, Scooter ₹15. Ratio = 1 : 3

5 : 15 simplifies to 1 : 3.

6. Ratio of students

Total students = 50, Boys = 30, Girls = 20.
(i) Boys to girls = 3 : 2
(ii) Girls to total = 2 : 5
(iii) Boys to total = 3 : 5

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