If a number is multiplied by three-fourth of itself, the value thus obtained is 10800. What is that number?

A) 210

B) 180

C) 120

D) 140

Correct answer:
C) 120

Description for Correct answer:
Let the number be x.

According to the question,

\( \Large x \times \left(x \times \frac{3}{4}\right)=10800 \)

\( \Large \frac{3x^{2}}{4} = 10800 \)

\( \Large x = \sqrt{14400} = 120 \)


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