Question

The product of two-fifths of a number and 80% of another number is what percent of the product of the numbers
A ) 20%
B ) 24%
C ) 28%
D ) 32%

Answer 1

Hint:- We will proceed by assuming any variable to represent the two numbers. Once we have done that, then we will use the concept of percentage and its formula to find out the given answer.

Complete step-by-step answer:
It has been given the questions that we will take two-fifths of a number and 80% of another number .
Since the numbers are not given in the question, we will assume the number to be equal to $x$ and $y$ respectively.
Thus two-fifths of a number $x$ is equal to $\dfrac{{2x}}{5}$ and 80% of the another number $y$ is equal to $\dfrac{{80y}}{{100}}$
Now we can find out their product to get$\dfrac{{2x}}{5} \times \dfrac{{80y}}{{100}}$ which can be further simplified to get $\dfrac{{8xy}}{{25}}$
As asked in the question, we need to find out that $\dfrac{{8xy}}{{25}}$is what percentage of the product of the two unknown numbers , that is , $xy$
Therefore, the percentage is given by
$\dfrac{{\dfrac{{8xy}}{{25}}}}{{xy}} \times 100$
Cancelling out $xy$, we get
$ \Rightarrow \dfrac{8}{{25}} \times 100$
On further simplification, we get the percentage to be equal to 32%

Hence, the correct answer is (D)

Note:- In these types of questions, it is important to assume the unknown numbers preferable as variables. The word percentage comes from the word percent. . Percent is translated directly to “per hundred.” If you have 87 percent, you literally have 87 per 100. If it snowed 13 times in the last 100 days, it snowed 13 percent of the time. To calculate the percentage of a specific number, you first convert the percentage number to a decimal.