PSLE A bookstore is having a book sale.
The 1st book is at 5% 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.
Hazel and Perry each bought two books at the sale.
- Hazel's books were priced at $22 and $36. How much did she pay for them?
- Perry paid a total of $45.65 for his two books. He paid $13.25 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% $36 |
100% $22 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 60% x 22
=
60100 x 22
= $13.20
Total amount that Hazel paid
= 34.20 + 13.20
= $47.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $13.25 |
1 u |
$45.65 |
(b)
Sale price of the 1st book = 1 u + 13.25
Sale price of the 2nd book = 1 u
Total amount that Perry paid
= 1 u + 13.25 + 1 u
= 2 u + 13.25
2 u + 13.25 = 45.65
2 u = 45.65 - 13.25
2 u = 32.40
1 u = 32.40 ÷ 2 = 16.20
Sale price of the 2nd book = $16.20
60% of the price = $16.20
100% of the price =
16.2060 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $47.40; (b) $27