PSLE A stationery shop is having a book sale. The 1st book is at 20% 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.
- Emma's books were priced at $33 and $38. How much did she pay for them?
- Zeph paid a total of $28.30 for his two books. He paid $10.10 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% $38 |
100% $33 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 38
=
80100 x 38
= $30.40
Selling price of 2nd book
= 65% x 33
=
65100 x 33
= $21.45
Total amount that Emma paid
= 30.40 + 21.45
= $51.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.10 |
1 u |
$28.30 |
(b)
Sale price of the 1st book = 1 u + 10.10
Sale price of the 2nd book = 1 u
Total amount that Zeph paid
= 1 u + 10.10 + 1 u
= 2 u + 10.10
2 u + 10.10 = 28.30
2 u = 28.30 - 10.10
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 2nd book = $9.10
65% of the price = $9.10
100% of the price =
9.1065 x 100 = $14
Selling price of the 2nd book before discount = $14
Answer(s): (a) $51.85; (b) $14