# 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.\[42\% \]

Last updated date: 26th Mar 2023

•

Total views: 207k

•

Views today: 3.84k

Answer

Verified

207k+ views

**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.

Recently Updated Pages

If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?