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# The total interest earned on d dollars invested for 3 months

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The total interest earned on d dollars invested for 3 months [#permalink]  28 May 2019, 08:33
Expert's post
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Question Stats:

42% (00:00) correct 57% (01:12) wrong based on 7 sessions
$$d > 0$$

 Quantity A Quantity B The total interest earned on d dollars invested for 3 months at 11 percent simple annual interest $$\frac{11}{3} (\frac{d}{100})$$ dollars

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The total interest earned on d dollars invested for 3 months [#permalink]  28 May 2019, 18:56
Carcass wrote:
$$d > 0$$

 Quantity A Quantity B The total interest earned on d dollars invested for 3 months at 11 percent simple annual interest $$\frac{11}{3} (\frac{d}{100})$$ dollars

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Explanation::

QTY A : The total interest earned on d dollars invested for 3 months at 11 percent simple annual interest =$$d * \frac{3}{12} * \frac{11}{100}$$ =$$d * \frac{1}{4} * \frac{11}{100}$$ = $$\frac{11}{4} * \frac{d}{100}$$ (time is calculated in terms of years)

Hence QTY A < QTY B

Option B
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Re: The total interest earned on d dollars invested for 3 months   [#permalink] 28 May 2019, 18:56
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