PSLE A store is having a book sale.
The 1st book is at 5% 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.
Shannon and Vincent each bought two books at the sale.
- Shannon's books were priced at $25 and $27. How much did she pay for them?
- Vincent paid a total of $48.15 for his two books. He paid $10.75 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% $27 |
100% $25 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 85% x 25
=
85100 x 25
= $21.25
Total amount that Shannon paid
= 25.65 + 21.25
= $46.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $10.75 |
1 u |
$48.15 |
(b)
Sale price of the 1st book = 1 u + 10.75
Sale price of the 2nd book = 1 u
Total amount that Vincent paid
= 1 u + 10.75 + 1 u
= 2 u + 10.75
2 u + 10.75 = 48.15
2 u = 48.15 - 10.75
2 u = 37.40
1 u = 37.40 ÷ 2 = 18.70
Sale price of the 2nd book = $18.70
85% of the price = $18.70
100% of the price =
18.7085 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $46.90; (b) $22