Question

1) The ratio 3 : 2 expressed as a
percentage equals :
O (a) 150%
O (b) 0.15%
O (c) 1.5%
O (d) 15%​

Answer 1

Answer:

(a) 150%

Step-by-step explanation:

$\frac{3}{2} \times 100 \\ = 3 \times 50 \\ = 150\%$

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Answer 2

Given

• Ratio ⇒ 3 : 2

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To Find

The value of given ratio in percentage.

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Solution

Method 1

3 : 2 can also be written as $\frac{3}{2}$ in fractional form.

Now we have to find a number which when we multiply by the denominator of the fraction gives 100.

So to find that we will divide 2 from 100.

100 ÷ 2 = 50

∴ We must multiply 50 to both the numerator and denominator.

⇒ $\dfrac{3\times 50}{2\times 50 }$

⇒ $\dfrac{150}{100}$

⇒ 150%

∴ The ratio 3 : 2 expressed as a percentage equals (a) 150%

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Method 2

3 : 2 can also be written as $\frac{3}{2}$ in fractional form.

Now we will multiply 100 to the fraction.

⇒ $\dfrac{3}{2}\times 100$

⇒ $\dfrac{300}{2}$

⇒ 150%

∴ The ratio 3 : 2 expressed as a percentage equals (a) 150%

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