Ratio and Proportion

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Ratio and Proportion: Overview

This topic covers concepts, such as, Cross Multiplication Method, Understanding Proportion as Equality of Ratios, Continued Proportion & Comparison Between Algebraical and Geometrical Definitions of Propositions etc.

Important Questions on Ratio and Proportion

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The average age of a woman and her daughter is 19 years. The ratio of their ages is 16:3. What is the age of the daughter?

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If 0.75 : x :: 5 : 8, then find the value of x.

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The highest score in an innings was 29of the total score and the next highest was 29 of the remainder. These scores differ by 8 runs. What was the total score in the innings?

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If p, q and r are positive real numbers, then the quantity (p+r)(q+r) is:

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Let Q=xy where x and y are positive real numbers. If both x and y are increased equally, then

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If x+7:2x+14 is the duplicate ratio of 5:8, then x is

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Find the compounded ratio of the ratio 2a:3b and the duplicate ratio of 9b2:ab.

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If a, b, c, d are in proportion, then

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A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio A and B becomes 7:9. How many litres of liquid A was contained by the can initially?

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If a: b = c:d, and e:f=g:h, then (ae + bf): (ae - bf) = ?

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If a: b = c:d, and e:f=g:h, then (ae + bf): (ae - bf) = ?

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17 is the incommensurable quantity.

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Identify the incommensurable quantity from the below options.

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32 is the incommensurable quantity.

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Identify the incommensurable quantity from the below options.

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Describe the concept of incommensurable quantities.

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If800 when divided in the ratio of 3:5 is  k and  m, then the value of k+m is

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If a2+b2c2+d2=abcd, then find the value of a+ba-b in terms of c and d only.

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When the digits of a two-digit number are reversed, it becomes five-sixth of itself. These two digits have a difference of one. The resulting number is 

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In a two-digit number, unit's place exceeds ten's place by 4 then the ten's place of the two-digit number will be