PSLE A store is having a book sale.
The 1st book is at 5% 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.
Shannon and Tim each bought two books at the sale.
- Shannon's books were priced at $17 and $25. How much did she pay for them?
- Tim paid a total of $48.90 for his two books. He paid $13.80 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $25 |
100% $17 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 25
=
95100 x 25
= $23.75
Selling price of 2nd book
= 65% x 17
=
65100 x 17
= $11.05
Total amount that Shannon paid
= 23.75 + 11.05
= $34.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $13.80 |
1 u |
$48.90 |
(b)
Sale price of the 1st book = 1 u + 13.80
Sale price of the 2nd book = 1 u
Total amount that Tim paid
= 1 u + 13.80 + 1 u
= 2 u + 13.80
2 u + 13.80 = 48.90
2 u = 48.90 - 13.80
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 2nd book = $17.55
65% of the price = $17.55
100% of the price =
17.5565 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $34.80; (b) $27