Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the number will be:

Options:

1100

360

3564

396

Correct Answer:

396

Explanation:

The correct answer is Option (4) → 396

Let the number be x.

Step 1: First difference

$80\% \text{ of } x - 62\% \text{ of } x = 198$

$0.80x - 0.62x = 198$

$0.18x = 198$

$x = \frac{198}{0.18} = 1100$

Step 2: Second difference

$92\% \text{ of } x - 56\% \text{ of } x = 0.92x - 0.56x = 0.36x$

$0.36 \times 1100 = 396$