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 right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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How many diagonals does a pentagon have?

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

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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What is the area of an equilateral triangle with side length 10 cm?

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If x^2 + 4x + 4 = 0, what is the value of x?

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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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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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A car travels 240 km in 4 hours. What is its average speed?

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