PSLE A store is having a book sale.
The 1st book is at 5% 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.
Opal and Dylan each bought two books at the sale.
- Opal's books were priced at $24 and $24. How much less did she pay for the 2nd book than the 1st book?
- Dylan paid a total of $42.80 for his two books. He paid $14.20 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% $24 |
100% $24 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 65% x 24
=
65100 x 24
= $15.60
Amount that Opal paid less for the 2nd book than the 1st book
= 22.80 - 15.60
= $7.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $14.20 |
1 u |
$42.80 |
(b)
Sale price of the 1st book = 1 u + 14.20
Sale price of the 2nd book = 1 u
Total amount that Dylan paid
= 1 u + 14.20 + 1 u
= 2 u + 14.20
2 u + 14.20 = 42.80
2 u = 42.80 - 14.20
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 1st book
= 1 u + 14.20
= $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) $7.20; (b) $30