Question

The rent of a house was increased from $Rs.2500$ to $Rs.3000$. Find the percentage increase in the rent.

Answer 1

Hint: First we will define percentage.
The percentage is the number or ratio which is represented in the form of the fractions with $100$.
The percentage is represented in the symbol $\% $.
In this problem, the house rent is increased from two thousand five hundred to three thousand rupees, which means it increases five hundred rupees.
We have to find the increased percentage of the given house rent.
Formula used: The formula for the increased percentage is the percentage increased $P = \dfrac{{\text{final} - \text{initial}}}{\text{initial}} \times 100$ where increased is the increased amount which is $Rs.500$ and initial is the starting amount $Rs.2500$

Complete step-by-step solution:
From that, the rent of the given house is $Rs.2500$ and then it will be increased to $Rs.3000$.
Hence the increased amount will be calculated by $Rs.3000$$ - Rs.2500 = Rs.500$.
Thus, five hundred rupees in the increased amount, but we need to calculate this in the percentage form (which is the given question)
Hence by the use of the percentage increase formula we get, $P = \dfrac{{\text{Final} - \text{Initial}}}{\text{Initial}} \times 100 \Rightarrow \dfrac{{3000 - 2500}}{{2500}} \times 100$ (where every information is given in the question, the total is the starting rent amount, and increase is the difference between the starting amount and increased amount which is five hundred).
Thus, Appling the known values into the formula, we get, $P = \dfrac{{\text{final} - \text{initial}}}{\text{initial}} \times 100 \Rightarrow \dfrac{{3000 - 2500}}{{2500}} \times 100$
Further solving this we get, $P = \dfrac{{500}}{{2500}} \times 100 \Rightarrow 20$ (by the help of division operation and subtraction)
Therefore, we get the house rent increased percentage is $20\% $

Note: Since the given question it has given the increased percentage to find this, we used the increased percentage formula.
Suppose the given question is the house of the rent $Rs.3000$ and deceased to$Rs.2500$. Here we have to find the deceased percentages, $P = \dfrac{{\text{Initial} - \text{Final}}}{\text{initial}} \times 100$ $P = \dfrac{{3000 - 2500}}{{3000}} \times 100 \Rightarrow \dfrac{{500}}{{3000}} \times 100 \Rightarrow 16.6\% $ which is the decreed percentage.