PSLE A shop is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Yen and Brandon each bought two books at the sale.
- Yen's books were priced at $16 and $30. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $27.65 for his two books. He paid $6.85 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $30 |
100% $16 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 30
=
75100 x 30
= $22.50
Selling price of 2nd book
= 65% x 16
=
65100 x 16
= $10.40
Amount that Yen paid more for the 1st book than the 2nd book
= 22.50 - 10.40
= $12.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.85 |
1 u |
$27.65 |
(b)
Sale price of the 1st book = 1 u + 6.85
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 6.85 + 1 u
= 2 u + 6.85
2 u + 6.85 = 27.65
2 u = 27.65 - 6.85
2 u = 20.80
1 u = 20.80 ÷ 2 = 10.40
Sale price of the 1st book
= 1 u + 6.85
= $17.25
75% of the price = $17.25
100% of the price =
17.2575 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $12.10; (b) $23