A watch increased in price by 4/5 . After the increase it was priced at £126. What was the original price of the watch?
Answers
Step-by-step explanation:
The original price of the top is unknown, but no matter what this price was, this is 100% of the value. The shop has then reduced prices by 20%. This means that 80% of the value of the top remains ( 100 \% - 20 \% = 80 \%) and this is worth £24.
To find the original price of the item, 100% has to be found. There are many ways to do this, but using a unitary method is a method that will always work.
80% = 24
Divide both sides by 80 to get 1%: 1 \% = 24 \div 80 = 0.3
Multiply both sides by 100 to get 100%: 100 \% = 0.3 \times 100 = 30
100% of the value of the top is worth £30 which means before the sale of 20%, the top cost £30.
This answer can be tested by taking 20% off £30. If the answer is £24, then the method and answer are correct.
\pounds 30 - 20 \% = \pounds 30 - \pounds 6 = \pounds 24