Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015

The value of the house on 1st January 2015 was of $650,000.

Step-by-step explanation:

Decimal multipliers:

For a increase of a%, the decimal multiplier is given by

For a decrease of a%, the decimal multiplier is given by

Rami bought a house on 1st January 2015.

For a value of x.

In 2015 the house increased in value by 15%.

This means that x is multiplied by

In 2016 the house decreased in value by 8%.

This means that 1.15 times x is multiplied by

On 1st January 2017 the value of the house was $687700.

The value of these multiplications is 687700.

What was the value of the house on 1st January 2015?

This is x, so:

The value of the house on 1st January 2015 was of $650,000.

it is contrapositive

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