Question

If 75% of 12 is x % of 300, then the value of x is : (a) 3 (b) 18 (c) 9 ​

Answer 1

Answer:

c)9

Step-by-step explanation:

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Answer 2

Given: $75\% \ of\ 12\ is\ x \% \ of\ 300$

We have to find the value of$x$.

• As we know that a percentage is a fraction of an amount is expressed as a particular number of hundredths of that amount.
• It is denoted by a symbol(%).
• For example, 5% means$\frac{5}{100}$.
• By using the unitary method we are calculating the percentage of numbers.
• As we know fractions can be converted into percentages and vice-versa.
• And percentages are reversible.  
• For example, $50 \% of 60$ is the same as$60 \% \ of\ 50$.

We are solving in the following way:

We have,

$75\% \ of\ 12\ =\ x \% \ of\ 300$

$=>\frac{75}{100} \times12=\frac{x}{100} \times300\\\\=>\frac{900}{100} =\frac{300x}{100}\\\\=>9=\frac{300x}{100}\\\\=>9\times100=300x\\\\=>900=300x\\\\=>x=\frac{900}{300} \\\\=>x=3$

Hence, the value of$x$ will be$3$.