Q1
What is a ratio?
AA comparison of two quantities
BA single number
CAn equation
DA type of polynomial
SSCClass 9 (SSC)Mathematics - Algebra (बीजगणित)Ch 4 · Topic 1
Ratio and Proportion
Ratio compares two quantities, and proportion states that two ratios are equal, both essential for solving comparative and scaling problems.
Core concept
A ratio a:b compares two quantities, and it can be simplified to its lowest terms just like a fraction.
How it works
A proportion states that two ratios are equal, written as a:b=c:d, useful for solving problems involving scaling or comparison.
Why it matters
Continued proportion involves three quantities where a:b=b:c, with b being the mean proportional, calculated as b=√(ac).
Key detail
Direct and inverse proportion describe relationships where quantities increase together or one increases as the other decreases.
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• Ratio a:b compares two quantities.
• Can be simplified like a fraction.
• Proportion: two ratios equal, a:b=c:d.
• Useful for scaling, comparison problems.
• Continued proportion: a:b=b:c.
• b is mean proportional, b=√(ac).
• Direct proportion: quantities increase together.
• Inverse proportion: one increases, other decreases.