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 = 10 and ab = 21, what is the value of (a-b)^2?

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If the perimeter of a square is 40 cm, what is the area of the square?

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What is the sum of all angles in a hexagon?

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The LCM of 12 and 15 is:

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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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 probability of drawing an ace from a standard deck of 52 cards?

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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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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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