PSLE A bookstore is having a book sale. The 1st book is at 10% 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.
- Joelle's books were priced at $24 and $36. How much did she pay for them?
- Daniel paid a total of $52.50 for his two books. He paid $14.10 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% $24 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 36
=
90100 x 36
= $32.40
Selling price of 2nd book
= 60% x 24
=
60100 x 24
= $14.40
Total amount that Joelle paid
= 32.40 + 14.40
= $46.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $14.10 |
1 u |
$52.50 |
(b)
Sale price of the 1st book = 1 u + 14.10
Sale price of the 2nd book = 1 u
Total amount that Daniel paid
= 1 u + 14.10 + 1 u
= 2 u + 14.10
2 u + 14.10 = 52.50
2 u = 52.50 - 14.10
2 u = 38.40
1 u = 38.40 ÷ 2 = 19.20
Sale price of the 2nd book = $19.20
60% of the price = $19.20
100% of the price =
19.2060 x 100 = $32
Selling price of the 2nd book before discount = $32
Answer(s): (a) $46.80; (b) $32