PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Anna and Bobby each bought two books at the sale.
- Anna's books were priced at $17 and $26. How much more did she pay for the 1st book than the 2nd book?
- Bobby paid a total of $44.60 for his two books. He paid $12.40 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% $26 |
100% $17 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 26
=
95100 x 26
= $24.70
Selling price of 2nd book
= 70% x 17
=
70100 x 17
= $11.90
Amount that Anna paid more for the 1st book than the 2nd book
= 24.70 - 11.90
= $12.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $12.40 |
1 u |
$44.60 |
(b)
Sale price of the 1st book = 1 u + 12.40
Sale price of the 2nd book = 1 u
Total amount that Bobby paid
= 1 u + 12.40 + 1 u
= 2 u + 12.40
2 u + 12.40 = 44.60
2 u = 44.60 - 12.40
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Sale price of the 1st book
= 1 u + 12.40
= $28.50
95% of the price = $28.50
100% of the price =
28.5095 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $12.80; (b) $30