Question

a student got 122 marks in a test . but he got 13 marks less than the pass mark.if the pass mark is 36%.find the maximum marks of the test.

Answer 1

Answer:

Answer:

Maximum marks of the test is 375 marks.

$\dag$Given:

$\textsf{• A student got 122 marks in a test}$

$\textsf{• He got 13 marks less than pass mark}$

$\textsf{• 36 percent is the pass mark}$

$\dag$To find:

$\textsf{Maximum marks of the test}$

$\dag$Taken:

Use this formula to find the total marks :

Let the total marks be 100 %

$\boxed{T=\frac{100}{P}×PM}$

Where,

T = Maximum marks

P = Percentage of pass marks

PM = Pass marks in the exam

$\dag$Concept:

To find the maximum marks first find the pass marks in numbers by adding :

PM = 122 + 13 marks

PM = 135 marks

$\dag$Solution:

$Taken,T=\frac{100}{P}×PM$

$\Rightarrow{T=\frac{100}{36}×135}$

$\Rightarrow{T=100×3.75}$

$\Rightarrow{T=375\:marks}$

So , the maximum marks is 375 marks.

Extra information:

To find the cost price if selling price is in profit:

$CP=\frac{100}{100+profit\:percent}×SP$

To find the cost price if selling price is in loss:

$CP=\frac{100}{100-loss\:percent}×SP$