Find the ratio of the following.
(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
(b) 5 m to 10 km    (c) 50 paise to Rs 5

Solution:

The ratio is defined as the comparison between two quantities of the same units that indicates how much of one quantity is present in the other quantity. 

(i) Speed of a cycle = 15 km/hr

Speed of a scooter = 30 km/hr

Speed of cycle: Speed of scooter = 15/30 = 1/2

Thus, the ratio is 1:2

(ii) Given data: 5 m to 10 km

Quantities can be compared only when the units are same.

1 km = 1000 m

Therefore, 10 km = 10 × 1000 = 10000 m

5 m to 10 km = 5 m to 10000 m = 5/10000 = 1/2000

Thus, the ratio is 1:2000

(iii) Given data: 50 paise to Rs 5

Quantities can be compared only when the units are the same.

Rs 1 = 100 paise

Rs 5 = 5 × 100 paise = 500 paise

50 paise to Rs 5 = 50 paise to 500 paise = 50/500 = 1/10

Thus, the ratio is 1:10

☛ Check: NCERT Solutions for Class 8 Maths Chapter 8

Video Solution:

Find the ratio of the following (i) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour (ii) 5 m to 10 km (iii) 50 paise to Rs 5

NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.1 Question 1

Summary:

The ratio of the following (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour (b) 5 m to 10 km (c) 50 paise to Rs 5 are (a) 1:2 (b) 1:2000 and (c)1:10 respectively.

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