Find the compound ratio of- 2 - 3- 9 - 14- and 14 - 27 2 - 9-3 - 4-2 - 5-3 - 5-

The correct option is A 2 : 9 For ratios a : b and c : d; the compound ratio is (a × c) : (b × d) ∴ Required compound ratio =(2× 9 × 14): (3× 14 × 27) =2× 9 × ...

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Standard IX

Mathematics

Ratio and Proportion

Find the comp...

Question

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

2 : 9

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3 : 4

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2 : 5

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3 : 5

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Solution

The correct option is A
2 : 9

For ratios a : b and c : d; the compound ratio is $(a \times c) : (b \times d)$

$∴$ Required compound ratio $= (2 \times 9 \times 14) : (3 \times 14 \times 27)$

$= \frac{2 \times 9 \times 14}{3 \times 14 \times 27} = \frac{2}{9} = 2 : 9$

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Similar questions

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and

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Q. Find the compounded ratio of

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and

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Find the value of $27 x^{3} + 8 y^{3}$ , if

(i) 3x + 2y = 14 and xy = 8

(ii) 3x + 2y = 20 and xy = $\frac{14}{9}$

Q. The solution set of the inequality

{log}_{π} (x + 27) - {log}_{π} (16 - 2 x) < {log}_{π} x

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Find the compound ratio of: 2 : 3, 9 : 14, and 14 : 27

The correct option is A 2 : 9 For ratios a : b and c : d; the compound ratio is (a×c):(b×d) ∴ Required compound ratio =(2×9×14):(3×14×27) =2×9×143×14×27=29=2:9

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

The correct option is A
2 : 9

For ratios a : b and c : d; the compound ratio is $(a \times c) : (b \times d)$

$∴$ Required compound ratio $= (2 \times 9 \times 14) : (3 \times 14 \times 27)$

$= \frac{2 \times 9 \times 14}{3 \times 14 \times 27} = \frac{2}{9} = 2 : 9$