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

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

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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

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What is the square root of 0.25?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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What is the square root of 144?

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What is the HCF of 48 and 180?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If a square has a perimeter of 64 cm, what is its area?

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