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 rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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If x - y = 5 and x + y = 15, what is the value of x?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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A sphere has a radius of 7 cm. What is its volume?

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What is the HCF of 48 and 180?

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What is the LCM of 15 and 20?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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

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If 2x - 3 = 7, what is the value of x?

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