Arithmetic

Percentages

Medium

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

1100

360

3564

396

✅ Correct Option: 4

The difference between 80% and 62% of a number is 198.

Let the number be $x$ .

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

$0.80x - 0.62x = 198$

$0.18x = 198$

$x = \dfrac{198}{0.18}$

$x = 1100$

The difference between 92% and 56% of the number:

$92\% \text{ of } 1100 - 56\% \text{ of } 1100$

$= (92\% - 56\%) \text{ of } 1100$

$= 36\% \text{ of } 1100$

$= 0.36 \times 1100$

$= 396$

Therefore, the difference between 92% and 56% of the number is 396.

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

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