$150$ is what percent of $30$ ?

5 %

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20 %

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50 %

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200 %

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500 %

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Solution

The correct option is E $500 %$
Let the percentage be $x$ .
$\frac{100 %}{x %} = \frac{30}{150}$
$\Rightarrow \frac{100}{x} \times x = \frac{30}{150} \times x$ .... Multiply both sides by $x$
$\Rightarrow 100 = 0.2 x$
$\Rightarrow x = 500$
Thus, $150$ is $500 %$ of $30$ .

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Q. What percent of Rs.150 is Rs.30?

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150

Find the mean of the step deviations:
$\begin{matrix} Class interval & Frequency (f_{i}) & Class mark (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}$

Q. What percent of 20 is 30?

Q. Calculate

\frac{\sum f_{i} u_{i}}{\sum f_{i}}

for the given data using step-deviation method.

\begin{matrix} Class interval & Frequency (f_{i}) & Class mark (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}

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150 is what percent of 30?

The correct option is E 500%Let the percentage be x.100%x%=30150⇒100x×x=30150×x .... Multiply both sides by x⇒100=0.2x⇒x=500Thus, 150 is 500% of 30.

$150$ is what percent of $30$ ?

The correct option is E $500 %$
Let the percentage be $x$ .
$\frac{100 %}{x %} = \frac{30}{150}$
$\Rightarrow \frac{100}{x} \times x = \frac{30}{150} \times x$ .... Multiply both sides by $x$
$\Rightarrow 100 = 0.2 x$
$\Rightarrow x = 500$
Thus, $150$ is $500 %$ of $30$ .