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The inflation index for the year 1989 relative to the year

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The inflation index for the year 1989 relative to the year

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Official Guide

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970?

1) The price of the Model K mixer was $102.40 more in 1989 than in 1970.
2) The price of the Model K mixer was $142.40 in 1989.

OA D.

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AAPL wrote:
Official Guide

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970?

1) The price of the Model K mixer was $102.40 more in 1989 than in 1970.
2) The price of the Model K mixer was $142.40 in 1989.
$${{{\rm{pric}}{{\rm{e}}_{\,70}}} \over {{\rm{price}}{\,_{89}}}} = {1 \over {3.56}}\,\,\,\,\,\,\left( * \right)$$
$$?\,\, = {\rm{pric}}{{\rm{e}}_{\,70}}$$
$$\left( 1 \right)\,\,\,{\rm{pric}}{{\rm{e}}_{\,89}} - {\rm{pric}}{{\rm{e}}_{\,70}} = 102.40\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,3.56 \cdot {\rm{pric}}{{\rm{e}}_{\,70}} - {\rm{pric}}{{\rm{e}}_{\,70}} = 102.40\,\,\,\,\, \Rightarrow \,\,\,\,{\rm{SUFF}}.\,$$
$$\left( 2 \right)\,\,\,{\rm{pric}}{{\rm{e}}_{\,89}} = 142.40\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,3.56 \cdot {\rm{pric}}{{\rm{e}}_{\,70}}\, = 142.40\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{SUFF}}.\,$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

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Fabio Skilnik :: https://GMATH.net (Math for the GMAT) or https://GMATH.com.br (Portuguese version)
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AAPL wrote:
Official Guide

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970?

1) The price of the Model K mixer was $102.40 more in 1989 than in 1970.
2) The price of the Model K mixer was $142.40 in 1989.
We are given that the inflation for the year 1989 relative to the year 1970 was 3.56, which means the price of an item in 1989 was 3.56 times the price of the same item in 1970. We are also given that the price of a Model K mixer increased according to the given inflation index, and from that we must determine the price of the mixer in 1970.

If we let x = the price of the Model K mixer in 1970, then the price of the Model K mixer in 1989 is 3.56x. Thus, we must determine the value of x.

Statement One Alone:

The price of the Model K mixer was $102.40 more in 1989 than in 1970.

Using the information in statement one, we can create the following equation:

3.56x = 102.40 + x

We see that we have enough information to determine the value of x. Statement one alone is sufficient to answer the question.

Statement Two Alone:

The price of the Model K mixer was $142.40 in 1989.

Using the information in statement two we can create the following equation:

3.56x = 142.40

We see that we have enough information to determine the value of x.

Answer: D

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Scott Woodbury-Stewart Founder and CEO

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