SOLUTION: The original price of the book was decreased by 20% two times in one year. It now cost $180 less than the original price. What was the original price?

Question 406656: The original price of the book was decreased by 20% two times in one year. It now cost $180 less than the original price. What was the original price?
Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
Assuming it was reduced by 20% to 80% of its original price; and then this price was reduced by 20% to 80% of this price (not a further 20% of the original price bringing it to 60% of the original price), we would have 80% of 80% = 64%

So, if it now costs $180 less than the original price, the reduction is 1 - 64% = 36%

Therefore 36% of the total price is $180.

Since 36% is 9/25, the original cost is $180 times 25/9 = $500.

Let us check:

Original price $500

20% reduction is $100 bringing it to $400

A further 20% reduction is �80 bringing it to $320

The difference in the price id $500 - $320 = $180

Correct!
RELATED QUESTIONS
The price of a book was decreased by 20% two times in one year it now costs 180 $ less... (answered by ewatrrr)

15% of jeans it now cost �20 what was the original... (answered by rfer)

The sale price of a sweater is $48. The price is 20% less than the original price. What... (answered by josmiceli)

A washing machine has had its price cut in the sale by 35%. The original price of the... (answered by josgarithmetic)

The selling price for a classic painting is $20,000, which is $1500 less than two times... (answered by solver91311)

the price of a product was decreased by 20% and the reduced price still by 10%. How many... (answered by Theo)

A book online is 20% less than retail price of book. The online price is $29.60. what is... (answered by rfer)

jeans were reduced by 18%. Now the price is �20. what was the original... (answered by rfer)

A clothing store manager reduced the original price of designer jeans by 20% on Monday,... (answered by stanbon)