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

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

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What is the sum of all even numbers between 1 and 50?

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What is the HCF of 72 and 120?

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If 5x - 2 = 13, what is the value of x?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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What is the sum of the interior angles of a hexagon?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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