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

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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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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If two complementary angles differ by 30°, what are the angles?

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If 2x = 16, what is the value of x?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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What is the greatest common divisor (GCD) of 36 and 48?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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