If x : y = 2 : 5 , then find 3x : 5y

6 : 5

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6 : 25

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2 : 3

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12 : 20

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Solution

The correct option is B 6 : 25
Given that x : y = 2 : 5

$∴$ $\frac{x}{y}$ = $\frac{2}{5}$ ............. equation (1)

Since we need to find 3x : 5y = $\frac{3 x}{5 y}$

Multiplying both sides of equation (1) by $\frac{3}{5}$ , we have

$\frac{3}{5}$ $\times$ $\frac{x}{y}$ = $\frac{3}{5}$ $\times$ $\frac{2}{5}$

$\frac{3 x}{5 y}$ = $\frac{6}{25}$

Hence $3 x : 5 y$ = $6 : 25$

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