PSLE A bookstore 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.
Vanessa and Jeremy each bought two books at the sale.
- Vanessa's books were priced at $12 and $23. How much less did she pay for the 2nd book than the 1st book?
- Jeremy paid a total of $53.55 for his two books. He paid $12.95 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% $23 |
100% $12 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 70% x 12
=
70100 x 12
= $8.40
Amount that Vanessa paid less for the 2nd book than the 1st book
= 21.85 - 8.40
= $13.45
|
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 + $12.95 |
1 u |
$53.55 |
(b)
Sale price of the 1st book = 1 u + 12.95
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 12.95 + 1 u
= 2 u + 12.95
2 u + 12.95 = 53.55
2 u = 53.55 - 12.95
2 u = 40.60
1 u = 40.60 ÷ 2 = 20.30
Sale price of the 1st book
= 1 u + 12.95
= $33.25
95% of the price = $33.25
100% of the price =
33.2595 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $13.45; (b) $35