Bunuel wrote:

Over the course of a year, a certain house appreciated in value by 10 percent while the house next door decreased in value by 10 percent as a result of foundation damage. At the end of the year, the reduced price of the second house was what percentage of the increased price of the first house?

(1) The amount by which the first house increased in value was half as much as the amount by which the second house decreased in value.

(2) At the end of the year, the second house was worth $70,000 more than the first house.

A alone is sufficient to answer the questions.

Based on the condition X(1+10/100) and Y(1-10/100) are the new prices of houses.

The questions asks for second house price/first house price,

(Y(1-10/100)/X(1+10/100))

On reduction, this results in (9y/11x)....so we would be needing y/x to find out.

A) gives a ratio between x and y..so sufficient

B) y=x+70000...Multiple combo possible...so insuff.

A is the answer

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Aiming for a 3 digit number with 7 as hundredths Digit