PSLE A stationery shop 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.
Opal and Fabian each bought two books at the sale.
- Opal's books were priced at $28 and $28. How much more did she pay for the 1st book than the 2nd book?
- Fabian paid a total of $41.70 for his two books. He paid $15.30 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% $28 |
100% $28 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 28
=
95100 x 28
= $26.60
Selling price of 2nd book
= 60% x 28
=
60100 x 28
= $16.80
Amount that Opal paid more for the 1st book than the 2nd book
= 26.60 - 16.80
= $9.80
|
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 + $15.30 |
1 u |
$41.70 |
(b)
Sale price of the 1st book = 1 u + 15.30
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 15.30 + 1 u
= 2 u + 15.30
2 u + 15.30 = 41.70
2 u = 41.70 - 15.30
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 1st book
= 1 u + 15.30
= $28.50
95% of the price = $28.50
100% of the price =
28.5095 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $9.80; (b) $30