Question

A girl gets $ 65 $ marks out of $ 80 $ marks. What percent marks did she get ?

Answer 1

Hint: We are given word problems related to the concepts of percentages. The given question requires us to find what percentage does a number represent. To solve this problem, we need to know how to write a number in percentage. We can solve this problem by two methods. We can solve either by normal method by finding the percentage of the whole number or by using the unitary method. Such questions require accuracy in arithmetic.

Complete step-by-step answer:
Let’s consider the given problem.
We are given that a girl scores $ 65 $ marks out of $ 80 $ marks. We have to find the percent of the marks scored by her out of the total marks possible.
So, let us assume the percentage of the marks scored by her as x. So, we can express the mathematical expression as,
 $ \Rightarrow x = \dfrac{{65}}{{80}} \times 100 $
Cancelling the common factors in the numerator and denominator of the fraction, we get,
 $ \Rightarrow x = \dfrac{{65}}{4} \times 5 $
Now, multiplying in the numerator and doing the calculations, we get,
 $ \Rightarrow x = \dfrac{{325}}{4} $
 $ \Rightarrow x = 81.25 $
So, $ 65 $ is $ 81.25\% $ of $ 80 $ .
Hence, the girl got $ 81.25\% $ marks.
This is our required final answer for the given problem.
So, the correct answer is “ $ 81.25\% $ ”.

Note: Though we have a number of methods to solve this problem, it is better to workout with the above-mentioned method and after solving a number of problems in this model, one can consider the method involving the unitary method. Solving problems by the unitary method needs better understanding in the concept of percentage. While solving such a problem using a unitary method, we consider the given number as $ 100\% $ of itself and then find out the desired percentage of the number. Work as many problems as possible to crack these types of problems in a limited time period.