Question

Mark and David agree to purchase a beach house in South Carolina at a cost of $378,000 which just had a price reduction of 10%. What was the original price of the house? How much did they save from the 10% reduction on the house?

Answer 1

Answer:

a) Original price= $420000

b) Saving= $ 42000.

Step-by-step explanation:

Given: Purchase price of beach house= $378000

           Price reduction= 10%

Let the original price be `x`

Now, computing to find the value of original price.

Purchase price= $Original\ price- Original\ price\times discount\%$

⇒ $\ 378000= x-x\times 0.10$

⇒ $\ 378000= x-0.10x$

⇒ $\ 378000= 0.9x$

Cross multiplying both side

∴ x= $\frac{378000}{0.9}= \ 420000$

∴ Original price= $420000.

Saving= Original price - Purchase price

Saving= $\ 420000-\ 378000= \ 42000$

∴ Saving made by Mark and David is $42000.