Question

Price of sugar rose from Rs 20 per kilogram to Rs 23. What is the percentage rise in the price of sugar?

Answer 1

Hint: In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement

Complete step-by-step answer:
This is a word problem, where the data is given in sentence form
On considering the given question.
The old price of the sugar = Rs.20
The value of sugar is raised to Rs 23
The new price of sugar = Rs. 23
Now we have to determine the amount raised. To determine that we have to subtract the old price of a sugar from the new price of a sugar
Therefore the amount raised is given by = \[23 - 20\]
On subtracting we get 3
The change in amount is Rs 3.
Hence we have determined the change in price, now we have to determine the percentage.
To calculate the percentage we divide the change in price by the old price of a sugar and then we multiply it by 100.
\[ \Rightarrow \dfrac{3}{{20}} \times 100\% \]
On cancelling the zeros
\[ \Rightarrow \dfrac{{30}}{2}\% \]
On dividing 30 by 2 we get
\[ \Rightarrow 15\% \]
Therefore the percentage rise in the price of sugar is \[15\% \]
So, the correct answer is “\[15\% \]”.

Note: The method to calculate percentage change is more or less the same and it is as follows:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.