PSLE A book shop is having a book sale.
The 1st book is at 25% 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.
Hazel and Rael each bought two books at the sale.
- Hazel's books were priced at $12 and $14. How much more did she pay for the 1st book than the 2nd book?
- Rael paid a total of $34.95 for his two books. He paid $8.55 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% $14 |
100% $12 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 14
=
75100 x 14
= $10.50
Selling price of 2nd book
= 60% x 12
=
60100 x 12
= $7.20
Amount that Hazel paid more for the 1st book than the 2nd book
= 10.50 - 7.20
= $3.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $8.55 |
1 u |
$34.95 |
(b)
Sale price of the 1st book = 1 u + 8.55
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 8.55 + 1 u
= 2 u + 8.55
2 u + 8.55 = 34.95
2 u = 34.95 - 8.55
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 1st book
= 1 u + 8.55
= $21.75
75% of the price = $21.75
100% of the price =
21.7575 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $3.30; (b) $29