PSLE A shop is having a book sale.
The 1st book is at 15% 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.
Gem and Bryan each bought two books at the sale.
- Gem's books were priced at $25 and $30. How much more did she pay for the 1st book than the 2nd book?
- Bryan paid a total of $28.65 for his two books. He paid $10.45 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% $30 |
100% $25 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 30
=
85100 x 30
= $25.50
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Amount that Gem paid more for the 1st book than the 2nd book
= 25.50 - 16.25
= $9.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.45 |
1 u |
$28.65 |
(b)
Sale price of the 1st book = 1 u + 10.45
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 10.45 + 1 u
= 2 u + 10.45
2 u + 10.45 = 28.65
2 u = 28.65 - 10.45
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 1st book
= 1 u + 10.45
= $19.55
85% of the price = $19.55
100% of the price =
19.5585 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $9.25; (b) $23