PSLE A bookstore is having a book sale.
The 1st book is at 25% 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.
Barbara and Asher each bought two books at the sale.
- Barbara's books were priced at $3 and $10. How much less did she pay for the 2nd book than the 1st book?
- Asher paid a total of $23.55 for his two books. He paid $7.95 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% $10 |
100% $3 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 10
=
75100 x 10
= $7.50
Selling price of 2nd book
= 65% x 3
=
65100 x 3
= $1.95
Amount that Barbara paid less for the 2nd book than the 1st book
= 7.50 - 1.95
= $5.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.95 |
1 u |
$23.55 |
(b)
Sale price of the 1st book = 1 u + 7.95
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 7.95 + 1 u
= 2 u + 7.95
2 u + 7.95 = 23.55
2 u = 23.55 - 7.95
2 u = 15.60
1 u = 15.60 ÷ 2 = 7.80
Sale price of the 1st book
= 1 u + 7.95
= $15.75
75% of the price = $15.75
100% of the price =
15.7575 x 100 = $21
Selling price of the 1st book before discount = $21
Answer(s): (a) $5.55; (b) $21