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# 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

 C) 120

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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