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The difference between 48% and 38% of a number is 354. What is 58% of that number?
Question

The difference between 48% and 38% of a number is 354. What is 58% of that number?

A.

2034.6

B.

1987.56

C.

1893.78

D.

2053.2

Correct option is D

Given:
Difference between 48% and 38% of a number = 354
Solution:
Let the number be x
48% of x38% of x=354(4838)% of x=35410% of x=354x=354×10=354058% of 3540=58100×3540=2053.248\% \text{ of } x - 38\% \text{ of } x = 354 \\(48 - 38)\% \text{ of } x = 354 \\10\% \text{ of } x = 354 \\x = 354 \times 10 = 3540 \\58\% \text{ of } 3540 = \frac{58}{100} \times 3540 = 2053.2​​

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