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What percentage of 830\frac{8}{30}308​​ is 120\frac{1}{20}201​​?
Question

What percentage of 830\frac{8}{30}​ is 120\frac{1}{20}​?

A.

37.5

B.

28.75

C.

18.75

D.

33.7

Correct option is C

Given:

830,120\frac{8}{30}, \frac{1}{20}

​Formula Used:

Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

Solution:

Percentage = (120830)×100\left( \frac{\frac{1}{20}}{\frac{8}{30}} \right) \times 100

Percentage =(120×308)×100 \left( \frac{1}{20} \times \frac{30}{8} \right) \times 100

​​Percentage = 316×100\frac{3}{16} \times 100

Percentage = 18.75%

Thus, the correct answer is (c).

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