PSLE A stationery shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Raeann and Lee each bought two books at the sale.
- Raeann's books were priced at $31 and $34. How much less did she pay for the 2nd book than the 1st book?
- Lee paid a total of $48.40 for his two books. He paid $9.20 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $34 |
100% $31 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 34
=
90100 x 34
= $30.60
Selling price of 2nd book
= 70% x 31
=
70100 x 31
= $21.70
Amount that Raeann paid less for the 2nd book than the 1st book
= 30.60 - 21.70
= $8.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $9.20 |
1 u |
$48.40 |
(b)
Sale price of the 1st book = 1 u + 9.20
Sale price of the 2nd book = 1 u
Total amount that Lee paid
= 1 u + 9.20 + 1 u
= 2 u + 9.20
2 u + 9.20 = 48.40
2 u = 48.40 - 9.20
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 1st book
= 1 u + 9.20
= $28.80
90% of the price = $28.80
100% of the price =
28.8090 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $8.90; (b) $32