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.
Kylie and Cody each bought two books at the sale.
- Kylie's books were priced at $12 and $16. How much did she pay for them?
- Cody paid a total of $41.10 for his two books. He paid $9.90 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $16 |
100% $12 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 16
=
85100 x 16
= $13.60
Selling price of 2nd book
= 65% x 12
=
65100 x 12
= $7.80
Total amount that Kylie paid
= 13.60 + 7.80
= $21.40
|
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 + $9.90 |
1 u |
$41.10 |
(b)
Sale price of the 1st book = 1 u + 9.90
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 9.90 + 1 u
= 2 u + 9.90
2 u + 9.90 = 41.10
2 u = 41.10 - 9.90
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 2nd book = $15.60
65% of the price = $15.60
100% of the price =
15.6065 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $21.40; (b) $24