Question

A maths exam is marked out of 120. Passing mark percentage is 40%. What are marks required for passing?
A. 48
B. 110
C. 54
D. 72

Answer 1

Hint:
Here, we will find the marks required to pass the maths examination. We will use the percentage formula and by substituting the passing mark percentage and the total marks, we will find the marks required for passing. Percentage is defined as a ratio of a number that represents a fraction of 100.

Formula Used:
If we are given the percentage \[P\] % of the total mark \[x\] , then the mark for the percentage \[y\] is given by \[y = P\% \times x\]

Complete Step by step Solution:
We are given that the maths exam is marked out of 120. Therefore,
Total marks in Maths \[ = 120\]
We are given that the Passing mark percentage is 40%. So,
Percentage of passing mark in Maths \[ = 40\% \]
We will now find marks required for passing
Marks required for passing \[ = 40\% \times 120\]
Percentage is a number represented as a fraction of 100.
\[ \Rightarrow \] Marks required for passing \[ = \dfrac{{40}}{{100}} \times 120\]
By dividing the numbers, we get
\[ \Rightarrow \] Marks required for passing \[ = 4 \times 12\]
\[ \Rightarrow \] Marks required for passing \[ = 48\]

Therefore, the marks required of passing is 48. Thus Option (A) is the correct answer.

Note:
Percentages is also a method of representing a whole in the form of fractions or ratios. A fraction or a ratio can have any number in the denominator but a percentage can have only the number 100 in the denominator. So, the percentage is representing a whole into 100 equal parts. Percentages can be easily converted into fractions and decimals but it is hard to represent fractions and decimals in the form of percentages.