PSLE A bookstore 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.
Fiona and Ben each bought two books at the sale.
- Fiona's books were priced at $36 and $36. How much less did she pay for the 2nd book than the 1st book?
- Ben paid a total of $26.95 for his two books. He paid $8.75 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% $36 |
100% $36 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 36
=
85100 x 36
= $30.60
Selling price of 2nd book
= 65% x 36
=
65100 x 36
= $23.40
Amount that Fiona paid less for the 2nd book than the 1st book
= 30.60 - 23.40
= $7.20
|
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 + $8.75 |
1 u |
$26.95 |
(b)
Sale price of the 1st book = 1 u + 8.75
Sale price of the 2nd book = 1 u
Total amount that Ben paid
= 1 u + 8.75 + 1 u
= 2 u + 8.75
2 u + 8.75 = 26.95
2 u = 26.95 - 8.75
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 1st book
= 1 u + 8.75
= $17.85
85% of the price = $17.85
100% of the price =
17.8585 x 100 = $21
Selling price of the 1st book before discount = $21
Answer(s): (a) $7.20; (b) $21