PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Julie and Peter each bought two books at the sale.
- Julie's books were priced at $33 and $37. How much did she pay for them?
- Peter paid a total of $64.25 for his two books. He paid $9.85 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $37 |
100% $33 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 37
=
95100 x 37
= $35.15
Selling price of 2nd book
= 80% x 33
=
80100 x 33
= $26.40
Total amount that Julie paid
= 35.15 + 26.40
= $61.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $9.85 |
1 u |
$64.25 |
(b)
Sale price of the 1st book = 1 u + 9.85
Sale price of the 2nd book = 1 u
Total amount that Peter paid
= 1 u + 9.85 + 1 u
= 2 u + 9.85
2 u + 9.85 = 64.25
2 u = 64.25 - 9.85
2 u = 54.40
1 u = 54.40 ÷ 2 = 27.20
Sale price of the 2nd book = $27.20
80% of the price = $27.20
100% of the price =
27.2080 x 100 = $34
Selling price of the 2nd book before discount = $34
Answer(s): (a) $61.55; (b) $34