PSLE A store is having a book sale.
The 1st book is at 15% 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.
Hazel and Caden each bought two books at the sale.
- Hazel's books were priced at $1 and $13. How much did she pay for them?
- Caden paid a total of $35.65 for his two books. He paid $6.85 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% $13 |
100% $1 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 13
=
85100 x 13
= $11.05
Selling price of 2nd book
= 80% x 1
=
80100 x 1
= $0.80
Total amount that Hazel paid
= 11.05 + 0.80
= $11.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $6.85 |
1 u |
$35.65 |
(b)
Sale price of the 1st book = 1 u + 6.85
Sale price of the 2nd book = 1 u
Total amount that Caden paid
= 1 u + 6.85 + 1 u
= 2 u + 6.85
2 u + 6.85 = 35.65
2 u = 35.65 - 6.85
2 u = 28.80
1 u = 28.80 ÷ 2 = 14.40
Sale price of the 2nd book = $14.40
80% of the price = $14.40
100% of the price =
14.4080 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $11.85; (b) $18