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 x^2 - 6x + 9 = 0, what is the value of x?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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The area of an equilateral triangle with side length 6 cm is:

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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What is the sum of all odd numbers from 1 to 99?

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What is the square root of 121?

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

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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

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