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| Composition of ratios |
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| If two or more ratios are multiplied term-wise, the ratio thus formed is called their compounded ratio. |
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| Example: |
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| The compounded ratio of 2:3 and 4:5 is 2 x 4:3 x 5 i.e. 8:15 |
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| The compounded ratio of two equal ratios is called their duplicate ratio. |
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| Example: |
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| a) The compounded ratio of a:b, a:b is a2:b2 |
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| a2:b2 is the duplicate ratio of a:b |
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| b) The duplicate ratio of 2:3 is |
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| 22:32 i.e. 4:9 |
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| The compounded ratio of three equal ratios is called their triplicate ratio. |
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| The triplicate ratio of a:b is a3:b3. |
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| Example: |
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| The triplicate ratio of 2:3 is 23:33=8:27. |
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| A ratio x:y is the sub-duplicate ratio of a:b. If a:b is the duplicate ratio of x:y. |
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| a:b = duplicate ratio of x:y |
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| a:b = x2:y2 |
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| Example: |
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| A ratio x:y is the sub triplicate ratio of a:b if a:b is the triplicate ratio of x:y. |
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| a:b= Triplicate ratio of x:y |
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| a:b= x3:y3 |
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| Example: |
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