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1/30 is what percentage of 1/80 (rounded off to two decimal places)?
Question

1/30 is what percentage of 1/80 (rounded off to two decimal places)?

A.

281.67%

B.

276.67%

C.

533.33%

D.

266.67%

Correct option is D

Given:
First fraction = 130 \frac{1}{30}​​
Second fraction = 180\frac{1}{80}​​
Formula Used:
Required Percentage = Given ValueBase Value×100\frac{Given\ Value}{Base\ Value} × 100​​
Solution:
We need to find what percentage 130 \frac{1}{30}​ is of  180.\frac{1}{80}.​​
Here, the Given Value is 130\frac{1}{30}​ and the Base Value is  180.\frac{1}{80}.​​
Required Percentage = 130180×100 \frac{\frac{1}{30}}{\frac{1}{80}} × 100​​
When dividing by a fraction, we multiply by its reciprocal.
Required Percentage = 130×801×100\frac{1}{30} × \frac{80}{1} × 100​​

Required Percentage = 8030×100\frac{80}{30} × 100​​
Simplifying the fraction:
Required Percentage = 83×100 \frac{8}{3} × 100​​

Required Percentage = 266.666...% 266.666... \%​​
Rounding off to two decimal places, we get 266.67%.
Final Answer
So the correct answer is (d)

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