Question

If Ram’s salary went up by 25% then by what percent should it be brought down to bring it to its initial value?
a). 25%
b). 20%
c). 33.33%
d). 37.5%

Answer 1

Hint: Percentage can be well defined as the ratio of two numbers, one of which is 100. Meaning that, percentage is the ratio of any number (real numbers) and 100. Percentage can be anything, positive or negative or even a zero. A percentage is denoted by a \ [\% \] sign. When we talk about \[x\% \] of some value y, then its numerical value is \[\dfrac{x}{{100}} \times y\].

Complete step-by-step solution:
To find: X% (percentage of fall of the salary to the original value)
As salary is not mentioned, let us consider ram’s salary as 100.
It is given that the salary gets up to $25\% $, this means there is an addition of $25\% $ of 100 to 100.
Old salary: 100, New salary: $100 + 100 \times 25\% = 125$
Here the 1st part of the question is solved. Moving on to the next part of find out X%.
New salary – old salary will give us the exact amount that has increased.
$125 - 100 = 25$ is the amount that has increased. Now we have to find that 25 is what percentage of 125.
$125 \times X\% = 25$
$\dfrac{X} {{100}} = \dfrac{{25}}{{125}}$
$X = 20$
Therefore, $X\% = 20\% $
Hence, from the given multiple choices – the B option is the correct answer.

Note: Read the question very carefully. After reading the question, which value is unknown and in what way we can find that value has to be clear. Interpreting the question into an equation has to be the important part of such sums. Once we form the equation, rest is just solving.