PSLE A store is having a book sale.
The 1st book is at 10% 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.
Xandra and Warren each bought two books at the sale.
- Xandra's books were priced at $29 and $33. How much more did she pay for the 1st book than the 2nd book?
- Warren paid a total of $35.10 for his two books. He paid $9.90 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $33 |
100% $29 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 33
=
90100 x 33
= $29.70
Selling price of 2nd book
= 60% x 29
=
60100 x 29
= $17.40
Amount that Xandra paid more for the 1st book than the 2nd book
= 29.70 - 17.40
= $12.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $9.90 |
1 u |
$35.10 |
(b)
Sale price of the 1st book = 1 u + 9.90
Sale price of the 2nd book = 1 u
Total amount that Warren paid
= 1 u + 9.90 + 1 u
= 2 u + 9.90
2 u + 9.90 = 35.10
2 u = 35.10 - 9.90
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 9.90
= $22.50
90% of the price = $22.50
100% of the price =
22.5090 x 100 = $25
Selling price of the 1st book before discount = $25
Answer(s): (a) $12.30; (b) $25