PSLE A store is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gillian and Jack each bought two books at the sale.
- Gillian's books were priced at $33 and $38. How much did she pay for them?
- Jack paid a total of $24.80 for his two books. He paid $10.40 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% $38 |
100% $33 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 38
=
80100 x 38
= $30.40
Selling price of 2nd book
= 60% x 33
=
60100 x 33
= $19.80
Total amount that Gillian paid
= 30.40 + 19.80
= $50.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $10.40 |
1 u |
$24.80 |
(b)
Sale price of the 1st book = 1 u + 10.40
Sale price of the 2nd book = 1 u
Total amount that Jack paid
= 1 u + 10.40 + 1 u
= 2 u + 10.40
2 u + 10.40 = 24.80
2 u = 24.80 - 10.40
2 u = 14.40
1 u = 14.40 ÷ 2 = 7.20
Sale price of the 2nd book = $7.20
60% of the price = $7.20
100% of the price =
7.2060 x 100 = $12
Selling price of the 2nd book before discount = $12
Answer(s): (a) $50.20; (b) $12