PSLE A store is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Marion and Cody each bought two books at the sale.
- Marion's books were priced at $19 and $25. How much less did she pay for the 2nd book than the 1st book?
- Cody paid a total of $44.75 for his two books. He paid $9.65 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% $25 |
100% $19 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 25
=
85100 x 25
= $21.25
Selling price of 2nd book
= 65% x 19
=
65100 x 19
= $12.35
Amount that Marion paid less for the 2nd book than the 1st book
= 21.25 - 12.35
= $8.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.65 |
1 u |
$44.75 |
(b)
Sale price of the 1st book = 1 u + 9.65
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 9.65 + 1 u
= 2 u + 9.65
2 u + 9.65 = 44.75
2 u = 44.75 - 9.65
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 1st book
= 1 u + 9.65
= $27.20
85% of the price = $27.20
100% of the price =
27.2085 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $8.90; (b) $32