Question

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be:
A) 450
B) 600
C) 300
D) 100

Answer 1

Answer:

D) 100

Step-by-step explanation:

Passing marks are 0.6x

so 0.3x + 30 = 0.6x => x = 100

Answer 2

The maximum marks in the examination = 100

Given :

• In an examination a candidate got 30% marks and failed by 30 marks.

• The passing marks are 60% of the total marks

To find :

The maximum marks in the examination is

A) 450

B) 600

C) 300

D) 100

Solution :

Step 1 of 2 :

Form the equation

Let maximum marks in the examination = 100x

Now the candidate got 30% marks

So marks obtained by the candidate = 30x

Now the candidate failed by 30 marks

So passing mark in the examination = 30x + 30

Again the passing marks are 60% of the total marks

So passing mark in the examination = 60x

From the above we get ,

$\displaystyle \sf{60x = 30x + 30 }$

Step 2 of 2 :

Calculate maximum marks in the examination

$\displaystyle \sf{ 60x = 30x + 30 }$

$\displaystyle \sf{ \implies 60x - 30x = 30}$

$\displaystyle \sf{ \implies 30x = 30}$

$\displaystyle \sf{ \implies x = \frac{30}{30} }$

$\displaystyle \sf{ \implies x = 1}$

So maximum marks in the examination

= 100x

= 100 × 1

= 100

Hence the correct option is D) 100

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ What percent of 1km is 500 m ?

https://brainly.in/question/31451385

2. what percentage is 474 m of 1km 896m

https://brainly.in/question/12696179

#SPJ3