PSLE A store is having a book sale.
The 1st book is at 15% 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.
Olivia and Fabian each bought two books at the sale.
- Olivia's books were priced at $26 and $30. How much less did she pay for the 2nd book than the 1st book?
- Fabian paid a total of $49.35 for his two books. He paid $10.15 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% $26 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 30
=
85100 x 30
= $25.50
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Amount that Olivia paid less for the 2nd book than the 1st book
= 25.50 - 18.20
= $7.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $10.15 |
1 u |
$49.35 |
(b)
Sale price of the 1st book = 1 u + 10.15
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 10.15 + 1 u
= 2 u + 10.15
2 u + 10.15 = 49.35
2 u = 49.35 - 10.15
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 1st book
= 1 u + 10.15
= $29.75
85% of the price = $29.75
100% of the price =
29.7585 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $7.30; (b) $35