PSLE A book shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Kathy and Reggie each bought two books at the sale.
- Kathy's books were priced at $27 and $36. How much did she pay for them?
- Reggie paid a total of $59.50 for his two books. He paid $5.10 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% $36 |
100% $27 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 36
=
85100 x 36
= $30.60
Selling price of 2nd book
= 80% x 27
=
80100 x 27
= $21.60
Total amount that Kathy paid
= 30.60 + 21.60
= $52.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $5.10 |
1 u |
$59.50 |
(b)
Sale price of the 1st book = 1 u + 5.10
Sale price of the 2nd book = 1 u
Total amount that Reggie paid
= 1 u + 5.10 + 1 u
= 2 u + 5.10
2 u + 5.10 = 59.50
2 u = 59.50 - 5.10
2 u = 54.40
1 u = 54.40 ÷ 2 = 27.20
Sale price of the 2nd book = $27.20
80% of the price = $27.20
100% of the price =
27.2080 x 100 = $34
Selling price of the 2nd book before discount = $34
Answer(s): (a) $52.20; (b) $34