PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Roshel and Sean each bought two books at the sale.
- Roshel's books were priced at $28 and $30. How much less did she pay for the 2nd book than the 1st book?
- Sean paid a total of $40.10 for his two books. He paid $11.20 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% $30 |
100% $28 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 30
=
95100 x 30
= $28.50
Selling price of 2nd book
= 85% x 28
=
85100 x 28
= $23.80
Amount that Roshel paid less for the 2nd book than the 1st book
= 28.50 - 23.80
= $4.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $11.20 |
1 u |
$40.10 |
(b)
Sale price of the 1st book = 1 u + 11.20
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 11.20 + 1 u
= 2 u + 11.20
2 u + 11.20 = 40.10
2 u = 40.10 - 11.20
2 u = 28.90
1 u = 28.90 ÷ 2 = 14.45
Sale price of the 1st book
= 1 u + 11.20
= $25.65
95% of the price = $25.65
100% of the price =
25.6595 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $4.70; (b) $27