PSLE A shop is having a book sale.
The 1st book is at 10% 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.
Irene and Zeph each bought two books at the sale.
- Irene's books were priced at $30 and $34. How much did she pay for them?
- Zeph paid a total of $35.85 for his two books. He paid $7.35 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% $34 |
100% $30 |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90% |
75% |
? |
(a)
Selling price of the 1st book
= 90% x 34
=
90100 x 34
= $30.60
Selling price of 2nd book
= 75% x 30
=
75100 x 30
= $22.50
Total amount that Irene paid
= 30.60 + 22.50
= $53.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $7.35 |
1 u |
$35.85 |
(b)
Sale price of the 1st book = 1 u + 7.35
Sale price of the 2nd book = 1 u
Total amount that Zeph paid
= 1 u + 7.35 + 1 u
= 2 u + 7.35
2 u + 7.35 = 35.85
2 u = 35.85 - 7.35
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 2nd book = $14.25
75% of the price = $14.25
100% of the price =
14.2575 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $53.10; (b) $19