PSLE A store is having a book sale. The 1st book is at 5% discount. The 2nd book is at 20% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Kylie's books were priced at $17 and $27. How much more did she pay for the 1st book than the 2nd book?
- Paul paid a total of $32.25 for his two books. He paid $11.45 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% $27 |
100% $17 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 80% x 17
=
80100 x 17
= $13.60
Amount that Kylie paid more for the 1st book than the 2nd book
= 25.65 - 13.60
= $12.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $11.45 |
1 u |
$32.25 |
(b)
Sale price of the 1st book = 1 u + 11.45
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 11.45 + 1 u
= 2 u + 11.45
2 u + 11.45 = 32.25
2 u = 32.25 - 11.45
2 u = 20.80
1 u = 20.80 ÷ 2 = 10.40
Sale price of the 1st book
= 1 u + 11.45
= $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) $12.05; (b) $23