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Questions and Answers
What is the tool used to compare two or more quantities by division?
In the ratio a : b : c, how is the second part obtained when dividing a given number A?
When are four quantities said to be in proportion?
What is the mean proportional if a : b = b : c?
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In the expression (mp + nr + ot) : (mq + ns + ou), what is the ratio if p : q = r : s = t : u = 2 : 3?
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Study Notes
Ratios and Proportions
- A ratio is used to compare two or more quantities by division.
Obtaining the Second Part of a Ratio
- In the ratio a : b : c, the second part (b) is obtained by dividing a given number A by a.
Proportion
- Four quantities are said to be in proportion when the ratio of the first and second quantities is equal to the ratio of the third and fourth quantities.
Mean Proportional
- If a : b = b : c, then b is the mean proportional between a and c.
Equivalent Ratios
- If p : q = r : s = t : u = 2 : 3, then the ratio (mp + nr + ot) : (mq + ns + ou) is also equal to 2 : 3.
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Description
Test your understanding of commercial arithmetic with this quiz covering ratio and proportion, percentage applications, averages, simple and compound interest, time and work, and distance, time, and speed. Assess your knowledge and improve your skills in these key areas of mathematics.
