PSLE A store is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Fanny and Justin each bought two books at the sale.
- Fanny's books were priced at $24 and $30. How much did she pay for them?
- Justin paid a total of $27.30 for his two books. He paid $5.70 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% $24 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 30
=
75100 x 30
= $22.50
Selling price of 2nd book
= 60% x 24
=
60100 x 24
= $14.40
Total amount that Fanny paid
= 22.50 + 14.40
= $36.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $5.70 |
1 u |
$27.30 |
(b)
Sale price of the 1st book = 1 u + 5.70
Sale price of the 2nd book = 1 u
Total amount that Justin paid
= 1 u + 5.70 + 1 u
= 2 u + 5.70
2 u + 5.70 = 27.30
2 u = 27.30 - 5.70
2 u = 21.60
1 u = 21.60 ÷ 2 = 10.80
Sale price of the 2nd book = $10.80
60% of the price = $10.80
100% of the price =
10.8060 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $36.90; (b) $18