Question

If A's salary is \[50\% \] more than B's, then by what percent B's salary is less than A's salary?
A.\[32\% \]
B.\[33\% \]
C.\[33\dfrac{1}{3}\% \]
D.\[42\% \]

Answer 1

Hint: A percentage is the number or ratio that can be expressed as a fraction of \[100\] in mathematics. If we need to determine a percentage of a number, we divide it by \[100\] and multiply it by the whole number. As a result, the percentage denotes a fraction of a percent.

Complete step-by-step answer:
Let us assume that B got \[Rs.100\] as salary.
In the question it is given that A’s salary is \[50\% \] more than B's salary.
Therefore, we have to find out the \[50\% \] of B’s salary. That is \[100 \times 50\% \]
\[ \Rightarrow 100 \times \dfrac{{50}}{{100}} = 50\]
So that, A’s salary \[ = 100 + 50 = 150\]
The difference between the A’s salary and B’s salary is \[150 - 100 = 50\] .
Hence, it is clear that B gets \[Rs.50\] less than A.
Therefore, the percentage of B’s salary less than A’s salary \[ = \dfrac{{50}}{{150}} \times 100\]
\[ \Rightarrow \] Percentage \[ = \dfrac{{100}}{3} = 33\dfrac{1}{3}\% \]
So, the answer is Option C. \[33\dfrac{1}{3}\% \]
So, the correct answer is “Option C”.

Note: We can also say that the percent, also known as the percentage, is a measurement of how much of one quantity is produced by another, and it is measured in terms of \[100\] . Percentage changes can be divided into two categories. They are percentage increase and percentage decrease. When the new value is greater than the original value, the percentage difference in the value indicates the increase in the original amount by a certain percentage. When the new value is less than the original value, the percentage difference in the value represents the original number's percent decrease.