PSLE A bookstore is having a book sale.
The 1st book is at 15% 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.
Hilda and Oliver each bought two books at the sale.
- Hilda's books were priced at $13 and $24. How much less did she pay for the 2nd book than the 1st book?
- Oliver paid a total of $36.15 for his two books. He paid $9.75 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% $13 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 24
=
85100 x 24
= $20.40
Selling price of 2nd book
= 60% x 13
=
60100 x 13
= $7.80
Amount that Hilda paid less for the 2nd book than the 1st book
= 20.40 - 7.80
= $12.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $9.75 |
1 u |
$36.15 |
(b)
Sale price of the 1st book = 1 u + 9.75
Sale price of the 2nd book = 1 u
Total amount that Oliver paid
= 1 u + 9.75 + 1 u
= 2 u + 9.75
2 u + 9.75 = 36.15
2 u = 36.15 - 9.75
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 1st book
= 1 u + 9.75
= $22.95
85% of the price = $22.95
100% of the price =
22.9585 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $12.60; (b) $27