PSLE A bookstore 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.
Jane and Perry each bought two books at the sale.
- Jane's books were priced at $25 and $25. How much did she pay for them?
- Perry paid a total of $48.75 for his two books. He paid $8.25 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% $25 |
100% $25 |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95% |
75% |
? |
(a)
Selling price of the 1st book
= 95% x 25
=
95100 x 25
= $23.75
Selling price of 2nd book
= 75% x 25
=
75100 x 25
= $18.75
Total amount that Jane paid
= 23.75 + 18.75
= $42.50
|
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 + $8.25 |
1 u |
$48.75 |
(b)
Sale price of the 1st book = 1 u + 8.25
Sale price of the 2nd book = 1 u
Total amount that Perry paid
= 1 u + 8.25 + 1 u
= 2 u + 8.25
2 u + 8.25 = 48.75
2 u = 48.75 - 8.25
2 u = 40.50
1 u = 40.50 ÷ 2 = 20.25
Sale price of the 2nd book = $20.25
75% of the price = $20.25
100% of the price =
20.2575 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $42.50; (b) $27