Topic Details (Notes format)

How to Solve Percent Proportions

Subject: Mathematics

Book: Maths Mastery

Percent proportion sets up the ratio part/whole = percent/100. If you want to find what percent of 60 is 12, you set 12/60 = x/100. Cross-multiplying yields 12 × 100 = 60x, so x = 20%. Similarly, for “What is 15% of 80?”, the proportion is x/80 = 15/100, resulting in x = 12. This approach is the bedrock for computing discounts, tip calculations, and test score conversions. Familiarity with percent proportions fosters a systematic, quick solution for many percentage-based problems across financial, academic, or daily contexts.

Practice Questions

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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How many ways can 4 people sit in a row?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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If the radius of a circle is doubled, what happens to its area?

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