Question
By how much per cent $2800$ is greater than $2400?$
✓
Answer
Let 2800 be $x \%$ greater than $2400.$
Then, $2400+x \%$ of $2400=2800$
$\Rightarrow 2400+2400 \times \frac{x}{100}=2800$
$\Rightarrow 2400 \times \frac{x}{100}=2800-2400=400$
$\Rightarrow x=\frac{400 \times 100}{2400}=\frac{50}{3} \%$
So, 2800 is $\frac{50}{3} \%$ greater than 2400.
Then, $2400+x \%$ of $2400=2800$
$\Rightarrow 2400+2400 \times \frac{x}{100}=2800$
$\Rightarrow 2400 \times \frac{x}{100}=2800-2400=400$
$\Rightarrow x=\frac{400 \times 100}{2400}=\frac{50}{3} \%$
So, 2800 is $\frac{50}{3} \%$ greater than 2400.
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