PSLE A bookstore is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Fiona and Flynn each bought two books at the sale.
- Fiona's books were priced at $29 and $32. How much less did she pay for the 2nd book than the 1st book?
- Flynn paid a total of $48.30 for his two books. He paid $7.50 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $32 |
100% $29 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 32
=
90100 x 32
= $28.80
Selling price of 2nd book
= 85% x 29
=
85100 x 29
= $24.65
Amount that Fiona paid less for the 2nd book than the 1st book
= 28.80 - 24.65
= $4.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $7.50 |
1 u |
$48.30 |
(b)
Sale price of the 1st book = 1 u + 7.50
Sale price of the 2nd book = 1 u
Total amount that Flynn paid
= 1 u + 7.50 + 1 u
= 2 u + 7.50
2 u + 7.50 = 48.30
2 u = 48.30 - 7.50
2 u = 40.80
1 u = 40.80 ÷ 2 = 20.40
Sale price of the 1st book
= 1 u + 7.50
= $27.90
90% of the price = $27.90
100% of the price =
27.9090 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $4.15; (b) $31