Question

A number increased from 125 to 150, find the percentage increase
A. 10%
B. 20%
C. 30%
D. None of these

Answer 1

Hint: We will first find the increase from 125 to 150 by subtracting 125 from 150. Then, use the formula of percentage increase, that is, $\dfrac{{{\text{increase}}}}{{{\text{old number}}}} \times {\text{100% }}$. Substitute the values and hence find the percentage increase.

Complete step-by-step answer:
We have to increase the percentage from 125 to 150.
We will first find the increase in number from 125 to 150 by subtracting 125 from 150.
That is, there is an increase of $150 - 125 = 25$ from Rs. 125.
We will calculate the percentage increase using the formula, $\dfrac{{{\text{increase}}}}{{{\text{old number}}}} \times {\text{100% }}$
On substituting the values, we will get,
$\dfrac{{25}}{{125}} \times 100$
Now, we will simplify the above expression as,
$\dfrac{1}{5} \times 100$
Divide by 5
Hence, the percentage increased 20%.
Thus, option B is correct.

Note: Percentage is the ratio of a number to 100. Percentage of a number can be expressed in decimal or in fraction. If we have $x\% $, this is equivalent to $\dfrac{x}{{100}}$ in fraction and $0.0x$in decimal. Also, while calculating percentage increase, we take the original price in the denominator and not the new price.