Question

After a 70% reduction, you purchase a new clothes dryer on sale for $204. What was the original price of the

clothes dryer?

Answer 1

Original Price = $680

Explanation:

Think about what a 70% reduction in price means.

If the original price of an item is $100 then a 70% reduction would mean that it costs 70% less from the original price. This means you would be paying only 30% of the original price

Let the original price be $P

Then the price you pay after 70% reduction is 30% of P
= P x 30/100

= P x 0.3 (30% = 30/100 = 0.3)

= 0.3P

We are given that this sale price = $204

--> 0.3P = 204

Dividing both sides by 0.3 gives us the value for P
0.3P/0/3 = 204/0.3

P = 204/0.3 = 680

So

Original Price = $680

We can double check our computations as follows

If original price = 680, then a reduction of 70% would be a discount of
0.7 x 680 = 476

Price after discount = Original Price - Discount

= 680 - 476 = 204

So our results are consistent

Answer 2

Answer:$346.8

Explanation:

1. X - 70% = 204

Want to get the value of X

2. X + 70% = 204 + 70%

= X = 204 x 1.7

= X = $346.8