Question

Q. The house costs 24% more today then when it was built. If the cost of the house today is $815 920, find the cost of the house when it was built.​

Answer 1

Question :

The house costs 24% more today then when it was built. If the cost of the house today is $815 920, find the cost of the house when it was built.

To find :

→ The cost of the house when it was built

Given Data :

• New cost of the house is $ 815920

• Cost of the house is 24 % more than the original price

Solution :

• Let the original cost of the house be $ x

${ \sf \small Since \: the \: cost \: is \: increased \: by \: 24} \% \: \sf \small{ we \: get}$

$\sf \small New \: Price \rarr (1 + \frac{24}{100} ) \: of \: original \: price$

${ \sf \small815920 \rarr \frac{124}{100} }\times x$

Transposing 124/100 to L.HS. of the equation we get :

$815920 \times \frac{100}{124} \rarr x$

$x = \sf 658000$

• So the original price of the house is $ 658000

More Information :

• A percentage is a number or ratio expressed as a fraction of 100.

• It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used.

• A percentage is a dimensionless number; it has no unit of measurement.