Question

Virat obtained 18% marks in an examination and he failed by 60 marks. If passing marks are
33%, then total marks are

(1) 350
(2) 400
(3) 450
(4) 500​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Virat obtained 18% marks in an examination and he failed by 60 marks. If passing marks are 33%, then total marks are

(1) 350

(2) 400

(3) 450

(4) 500

EVALUATION

Let T be the total marks

Now it is given that Virat obtained 18% marks in an examination

So the marks obtained by Virat

$\displaystyle\sf{ = T \times \frac{18}{100} }$

$\displaystyle\sf{ = \frac{18T}{100} }$

Again promotion marks are 33%

So promotion marks

$\displaystyle\sf{ = T \times \frac{33}{100} }$

$\displaystyle\sf{ = \frac{33T}{100} }$

So by the given condition

$\displaystyle\sf{ \frac{33T}{100} - \frac{18T}{100} = 60 }$

$\displaystyle\sf{ \implies \frac{15T}{100} = 60 }$

$\displaystyle\sf{ \implies T= 60 \times \frac{100}{15} }$

$\displaystyle\sf{ \implies T= 400}$

Hence the required total marks = 400

FINAL ANSWER

Hence the correct option is (2) 400

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Answer 2

Step-by-step explanation:

Let passing marks be 33% of the total marks

And, let total or maximum marks be x

He got 18% marks and failed by 60 marks…(given)

Then,

60 is the 15% then 18% will be 60/ 15 *18= 72

33% of total marks=72+60

33% of x= 132

33/100 *x=132

x=132*100/33

x=400

Therefore, the maximum marks are 400.