PSLE A store is having a book sale.
The 1st book is at 5% 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.
Sabrina and Will each bought two books at the sale.
- Sabrina's books were priced at $30 and $35. How much more did she pay for the 1st book than the 2nd book?
- Will paid a total of $40.25 for his two books. He paid $12.95 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $35 |
100% $30 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 35
=
95100 x 35
= $33.25
Selling price of 2nd book
= 65% x 30
=
65100 x 30
= $19.50
Amount that Sabrina paid more for the 1st book than the 2nd book
= 33.25 - 19.50
= $13.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $12.95 |
1 u |
$40.25 |
(b)
Sale price of the 1st book = 1 u + 12.95
Sale price of the 2nd book = 1 u
Total amount that Will paid
= 1 u + 12.95 + 1 u
= 2 u + 12.95
2 u + 12.95 = 40.25
2 u = 40.25 - 12.95
2 u = 27.30
1 u = 27.30 ÷ 2 = 13.65
Sale price of the 1st book
= 1 u + 12.95
= $26.60
95% of the price = $26.60
100% of the price =
26.6095 x 100 = $28
Selling price of the 1st book before discount = $28
Answer(s): (a) $13.75; (b) $28