PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xylia and Neave each bought two books at the sale.
- Xylia's books were priced at $25 and $30. How much less did she pay for the 2nd book than the 1st book?
- Neave paid a total of $33.10 for his two books. He paid $10.60 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $30 |
100% $25 |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95% |
75% |
? |
(a)
Selling price of the 1st book
= 95% x 30
=
95100 x 30
= $28.50
Selling price of 2nd book
= 75% x 25
=
75100 x 25
= $18.75
Amount that Xylia paid less for the 2nd book than the 1st book
= 28.50 - 18.75
= $9.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $10.60 |
1 u |
$33.10 |
(b)
Sale price of the 1st book = 1 u + 10.60
Sale price of the 2nd book = 1 u
Total amount that Neave paid
= 1 u + 10.60 + 1 u
= 2 u + 10.60
2 u + 10.60 = 33.10
2 u = 33.10 - 10.60
2 u = 22.50
1 u = 22.50 ÷ 2 = 11.25
Sale price of the 1st book
= 1 u + 10.60
= $21.85
95% of the price = $21.85
100% of the price =
21.8595 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $9.75; (b) $23