PSLE A stationery shop 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.
Tammy and Warren each bought two books at the sale.
- Tammy's books were priced at $23 and $26. How much did she pay for them?
- Warren paid a total of $28.20 for his two books. He paid $5.40 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% $26 |
100% $23 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 26
=
80100 x 26
= $20.80
Selling price of 2nd book
= 60% x 23
=
60100 x 23
= $13.80
Total amount that Tammy paid
= 20.80 + 13.80
= $34.60
|
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 + $5.40 |
1 u |
$28.20 |
(b)
Sale price of the 1st book = 1 u + 5.40
Sale price of the 2nd book = 1 u
Total amount that Warren paid
= 1 u + 5.40 + 1 u
= 2 u + 5.40
2 u + 5.40 = 28.20
2 u = 28.20 - 5.40
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) $34.60; (b) $19