If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the number will be:
Answer & explanation
Correct answer: option 4
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
$92\% \text{ of } x - 56\% \text{ of } x = 0.92x - 0.56x = 0.36x$
$0.36 \times 1100 = 396$