Question 7

If x > 0, then which of the following expressions are equal to 3.6% of $$\frac{5x}{12}$$?

A. 3 percent of 20x
B. x percent of $$\frac{3}{2}$$
C. 3x percent of 0.2
D. 0.05 percent of 3x
E. $$\frac{3x}{200}$$
Choose the correct answer from the options given below:


It is given, x > 0

3.6% of $$\frac{5x}{12}$$ = $$\frac{3.6}{100}\times\frac{5x}{12}=\frac{36}{1000}\times\frac{5x}{12}=\frac{3x}{200}$$

A) 3 percent of 20x = $$\frac{3\left(20x\right)}{100}=\frac{3x}{5}\ne\ \frac{3x}{200}$$

B) x percent of $$\frac{3}{2}$$ = $$\frac{x}{100}\left(\frac{3}{2}\right)=\frac{3x}{200}$$

C) 3x percent of 0.2 = $$\frac{3x}{100}\left(0.2\right)=\frac{6x}{1000}=\frac{3x}{500}\ne\ \frac{3x}{200}$$

D) 0.05 percent of 3x = $$\frac{0.05}{100}\left(3x\right)=\frac{3x\left(5\right)}{10000}=\frac{3x}{2000}\ne\ \frac{3x}{200}$$

E) $$\frac{3x}{200}$$

Only B and E are equal to the calculated value.

Therefore, the answer is option D.

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