PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Cindy and Cody each bought two books at the sale.
- Cindy's books were priced at $23 and $32. How much less did she pay for the 2nd book than the 1st book?
- Cody paid a total of $36.35 for his two books. He paid $11.15 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% $32 |
100% $23 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 32
=
95100 x 32
= $30.40
Selling price of 2nd book
= 60% x 23
=
60100 x 23
= $13.80
Amount that Cindy paid less for the 2nd book than the 1st book
= 30.40 - 13.80
= $16.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $11.15 |
1 u |
$36.35 |
(b)
Sale price of the 1st book = 1 u + 11.15
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 11.15 + 1 u
= 2 u + 11.15
2 u + 11.15 = 36.35
2 u = 36.35 - 11.15
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 11.15
= $23.75
95% of the price = $23.75
100% of the price =
23.7595 x 100 = $25
Selling price of the 1st book before discount = $25
Answer(s): (a) $16.60; (b) $25