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Vimal secured 46% marks in the exam and failed to qualify in the exam by 10 marks. If he secured 52% marks, he would have secured 8 marks more than what was the minimum qualifying marks. What were the minimum marks one had to score to qualify in the exam?

Vimal secured 46% marks in the exam and failed to qualify in the exam by 10 marks. If he secured 52% marks, he would have secured 8 marks more than what was the minimum qualifying marks. What were the minimum marks one had to score to qualify in the exam? Correct Answer 148

Given: 

Vimal secured 46% marks in the exam and failed to qualify in the exam by 10 marks.

If he secured 52% marks, he would have secured 8 marks more than what was the minimum qualifying marks.

Calculation:

Let the total marks in the exam be Q.

Vimal scored = 46% × Q = 0.46Q

Minimum passing marks = 0.46Q + 10

According to the question,

0.46Q + 10 = 52% × Q - 8

⇒ 0.46Q + 10 = 0.52Q - 8

⇒ 0.52Q - 0.46Q = 10 + 8

⇒ 0.06Q = 18

⇒ Q = 18/0.06

⇒ Q = 300

Now, the passing marks in the exam

⇒ 0.46 × 300 + 10

⇒ 148

∴ The minimum marks one had to score to qualify in the exam were 148.

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