PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Cindy and Bryan each bought two books at the sale.
- Cindy's books were priced at $14 and $25. How much more did she pay for the 1st book than the 2nd book?
- Bryan paid a total of $50.20 for his two books. He paid $10.60 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% $25 |
100% $14 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 25
=
95100 x 25
= $23.75
Selling price of 2nd book
= 90% x 14
=
90100 x 14
= $12.60
Amount that Cindy paid more for the 1st book than the 2nd book
= 23.75 - 12.60
= $11.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $10.60 |
1 u |
$50.20 |
(b)
Sale price of the 1st book = 1 u + 10.60
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 10.60 + 1 u
= 2 u + 10.60
2 u + 10.60 = 50.20
2 u = 50.20 - 10.60
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Sale price of the 1st book
= 1 u + 10.60
= $30.40
95% of the price = $30.40
100% of the price =
30.4095 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $11.15; (b) $32