PSLE A bookstore is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Anna and Cody each bought two books at the sale.
- Anna's books were priced at $14 and $27. How much did she pay for them?
- Cody paid a total of $36.65 for his two books. He paid $8.15 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $27 |
100% $14 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 27
=
80100 x 27
= $21.60
Selling price of 2nd book
= 75% x 14
=
75100 x 14
= $10.50
Total amount that Anna paid
= 21.60 + 10.50
= $32.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $8.15 |
1 u |
$36.65 |
(b)
Sale price of the 1st book = 1 u + 8.15
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 8.15 + 1 u
= 2 u + 8.15
2 u + 8.15 = 36.65
2 u = 36.65 - 8.15
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 2nd book = $14.25
75% of the price = $14.25
100% of the price =
14.2575 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $32.10; (b) $19