PSLE A bookstore is having a book sale.
The 1st book is at 5% 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.
Julie and Ken each bought two books at the sale.
- Julie's books were priced at $2 and $12. How much did she pay for them?
- Ken paid a total of $32.55 for his two books. He paid $13.05 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% $12 |
100% $2 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 65% x 2
=
65100 x 2
= $1.30
Total amount that Julie paid
= 11.40 + 1.30
= $12.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $13.05 |
1 u |
$32.55 |
(b)
Sale price of the 1st book = 1 u + 13.05
Sale price of the 2nd book = 1 u
Total amount that Ken paid
= 1 u + 13.05 + 1 u
= 2 u + 13.05
2 u + 13.05 = 32.55
2 u = 32.55 - 13.05
2 u = 19.50
1 u = 19.50 ÷ 2 = 9.75
Sale price of the 2nd book = $9.75
65% of the price = $9.75
100% of the price =
9.7565 x 100 = $15
Selling price of the 2nd book before discount = $15
Answer(s): (a) $12.70; (b) $15