PSLE A bookstore is having a book sale.
The 1st book is at 15% 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.
Cathy and Warren each bought two books at the sale.
- Cathy's books were priced at $4 and $19. How much did she pay for them?
- Warren paid a total of $30.95 for his two books. He paid $8.15 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% $19 |
100% $4 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 19
=
85100 x 19
= $16.15
Selling price of 2nd book
= 60% x 4
=
60100 x 4
= $2.40
Total amount that Cathy paid
= 16.15 + 2.40
= $18.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $8.15 |
1 u |
$30.95 |
(b)
Sale price of the 1st book = 1 u + 8.15
Sale price of the 2nd book = 1 u
Total amount that Warren paid
= 1 u + 8.15 + 1 u
= 2 u + 8.15
2 u + 8.15 = 30.95
2 u = 30.95 - 8.15
2 u = 22.80
1 u = 22.80 ÷ 2 = 11.40
Sale price of the 2nd book = $11.40
60% of the price = $11.40
100% of the price =
11.4060 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $18.55; (b) $19