If x>0, then which of the following expressions are equal to 3.6 \% of \frac{5 x}{12} ? A. 3 percent of 20 x B. x percent of \frac{3}{2} C. 3 \times percent of 0.2 D. 0.05 percent of 3 {\x} E. \frac{3 x}{200} Choose the correct answer from the options given below:

Correct Answer is : B and E only

CMAT Exam 2023 Shift 2 Solved Paper

Question : 7 of 100

Marks: +1, -0

x>0

, then which of the following expressions are equal to

3.6 \%

\;{5 x}/{12}

?
A. 3 percent of

20 x

x

percent of

\;{3}/{2}

3 ×

percent of 0.2
D. 0.05 percent of

3 {\x}

\;{3 x}/{200}

Choose the correct answer from the options given below:

Solution:

It is given,

x>0

3.6 \%

\;{5 x}/{12}=\;{3.6}/{100} × \;{5 x}/{12}=\;{36}/{1000} × \;{5 x}/{12}=\;{3 x}/{200}

A) 3 percent of

20 {\x}=\;{3(20 x)}/{100}=\;{3 x}/{5} ≠ \;{3 x}/{200}

x

percent of

\;{3}/{2}=\;{x}/{100} (\;{3}/{2}) =\;{3 x}/{200}

3 x

percent of

0.2=\;{3 x}/{100}(0.2)=\;{6 x}/{1000}=\;{3 x}/{500} ≠ \;{3 x}/{200}

D) 0.05 percent of

3 {\x}=\;{0.05}/{100}(3 x)=\;{3 x(5)}/{10000}=\;{3 x}/{2000} ≠ \;{3 x}/{200}

\;{3 x}/{200}

Only

B

and

E

are equal to the calculated value.
Therefore, the answer is option D.

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