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 number is divisible by 9, it is also divisible by which of the following?

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What is the remainder when 5^100 is divided by 3?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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If the sum of three consecutive integers is 96, what are the integers?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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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 value of log₃(27)?

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

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