PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Hilda and Liam each bought two books at the sale.
- Hilda's books were priced at $27 and $30. How much did she pay for them?
- Liam paid a total of $63.30 for his two books. He paid $10.80 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $30 |
100% $27 |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95% |
75% |
? |
(a)
Selling price of the 1st book
= 95% x 30
=
95100 x 30
= $28.50
Selling price of 2nd book
= 75% x 27
=
75100 x 27
= $20.25
Total amount that Hilda paid
= 28.50 + 20.25
= $48.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $10.80 |
1 u |
$63.30 |
(b)
Sale price of the 1st book = 1 u + 10.80
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 10.80 + 1 u
= 2 u + 10.80
2 u + 10.80 = 63.30
2 u = 63.30 - 10.80
2 u = 52.50
1 u = 52.50 ÷ 2 = 26.25
Sale price of the 2nd book = $26.25
75% of the price = $26.25
100% of the price =
26.2575 x 100 = $35
Selling price of the 2nd book before discount = $35
Answer(s): (a) $48.75; (b) $35