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If A1 is 19 times more than A2, then A2 is what percentage less than A1?
Question

If A1 is 19 times more than A2, then A2 is what percentage less than A1?

A.

100 percent

B.

95 percent

C.

105 percent

D.

85 percent

Correct option is B

Solution:
Let’s assume:
A2 = x
Then, A1 is 19 times more than A2, which means:

A2=xThen A1=x+19x=20xPercentage less of A2 compared to A1:(A1A2A1)×100=(20xx20x)×100 =(19x20x)×100=95%\text A_2 = x \\\text{Then } A_1 = x + 19x = 20x \\[10pt]\text{Percentage less of } A_2 \text{ compared to } A_1: \\\left( \frac{A_1 - A_2}{A_1} \right) \times 100 = \left( \frac{20x - x}{20x} \right) \times 100 \\\ \\= \left( \frac{19x}{20x} \right) \times 100 = 95\%

Final Answer: (B) 95 percent​​

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