PSLE A store 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.
Xuan and Bryan each bought two books at the sale.
- Xuan's books were priced at $15 and $30. How much did she pay for them?
- Bryan paid a total of $38.55 for his two books. He paid $7.05 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% $15 |
|
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 15
=
75100 x 15
= $11.25
Total amount that Xuan paid
= 28.50 + 11.25
= $39.75
|
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 + $7.05 |
1 u |
$38.55 |
(b)
Sale price of the 1st book = 1 u + 7.05
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 7.05 + 1 u
= 2 u + 7.05
2 u + 7.05 = 38.55
2 u = 38.55 - 7.05
2 u = 31.50
1 u = 31.50 ÷ 2 = 15.75
Sale price of the 2nd book = $15.75
75% of the price = $15.75
100% of the price =
15.7575 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $39.75; (b) $21