PSLE A bookstore 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.
- Lucy's books were priced at $21 and $36. How much did she pay for them?
- Zane paid a total of $30.50 for his two books. He paid $11.30 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% $36 |
100% $21 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 60% x 21
=
60100 x 21
= $12.60
Total amount that Lucy paid
= 34.20 + 12.60
= $46.80
|
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 + $11.30 |
1 u |
$30.50 |
(b)
Sale price of the 1st book = 1 u + 11.30
Sale price of the 2nd book = 1 u
Total amount that Zane paid
= 1 u + 11.30 + 1 u
= 2 u + 11.30
2 u + 11.30 = 30.50
2 u = 30.50 - 11.30
2 u = 19.20
1 u = 19.20 ÷ 2 = 9.60
Sale price of the 2nd book = $9.60
60% of the price = $9.60
100% of the price =
9.6060 x 100 = $16
Selling price of the 2nd book before discount = $16
Answer(s): (a) $46.80; (b) $16