Question

In an examination, a student requires 40% of the total marks to pass. If Rupa gets 185 marks and fails by 15 marks. Find the total marks.

Answer 1

Hint:Here, we can use the definition of percentage to find the total marks. First of all, we can assume the total marks to be x and we have been given that Rupa gets 185 marks and she fails by 15 marks. This means that if she would have scored 15 more marks then she would have passed then required total marks to pass is 200.Equating pass percentage of total marks with 200 we get value of x i.e Total marks.

Complete step-by-step answer:
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign ‘%’. A percentage is a dimensionless number.
The percentage value is computed by multiplying the numeric value of the ratio or fraction by 100. Due to inconsistent wage, it is not always clear from the context what a percentage is relative to.
Here, we have been given that Rupa gets 185 marks and she fails by 15 marks. This means that if she would have scored 15 more marks then she would have passed.
So, total passing marks is = 185 + 15 = 200 marks.
Now, a student needs 40% of the total marks to pass.
Therefore, we can say that 40% of the total marks is equal to 200.
Let us assume that the total marks in the exam is = x.
So, we can write:
40% of x = 200
$\Rightarrow \dfrac{40}{100}\times x=200$
$\Rightarrow x=\dfrac{200\times 100}{40}=500$
The value of x comes out to be 500.
Hence, total marks of the exam is 500.

Note: Students should note here that percent means per hundred and that is why we divide the value of the given percent by 100 and then multiply it with the total marks.We can cross whether the solution is right or wrong by dividing marks required to pass and total marks i.e $\dfrac{200}{500}$ and converting it into $\%$ by multiplying with $100$ we get $40\%$ Hence verified.