Answer:
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