A ratio is the relationship between two quantities of the same kind with the same unit, obtained by dividing the first by the second.
Example:
The ratio between 15 kg and 20 kg
15 kg : 20 kg = `15/20` = `3/4` = 3:4.
Find the ratio of
Solution:
(i) Required ratio = `60 / 48` = `5 / 4` = 5 : 4
(ii) Since 3.75 kg = 3.75 × 1000 gm = 3750 gm
Required ratio = `"3.75 kg" / "750 gm"`
= `"3750 gm" / "750 gm"`
= `5 / 1`
= 5 : 1
Athletics (Race Results)
In sports, ratios help compare times in a race.
Example:
Runner A completes a 100-metre race in 12 seconds, and Runner B takes 15 seconds.
The ratio of their times is 12:15, which simplifies to 4:5.
Real-life meaning:
The ratio 4:5 shows that Runner A is faster than Runner B.
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Distance from Mary’s home to school (in km.)
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10 | 4 | |||
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Distance from John’s home to school (in km.)
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5 | 4 | 3 | 1 |
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Distance from Mary’s home to school (in km.)
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10 | 8 | 4 | 6 | 2 |
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Distance from John’s home to school (in km.)
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5 | 4 | 2 | 3 | 1 |
Find the ratio of 90 cm to 1.5 m.
