PSLE A store is having a book sale.
The 1st book is at 15% 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.
Kylie and Vincent each bought two books at the sale.
- Kylie's books were priced at $31 and $32. How much less did she pay for the 2nd book than the 1st book?
- Vincent paid a total of $49.90 for his two books. He paid $9.60 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% $32 |
100% $31 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 32
=
85100 x 32
= $27.20
Selling price of 2nd book
= 65% x 31
=
65100 x 31
= $20.15
Amount that Kylie paid less for the 2nd book than the 1st book
= 27.20 - 20.15
= $7.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.60 |
1 u |
$49.90 |
(b)
Sale price of the 1st book = 1 u + 9.60
Sale price of the 2nd book = 1 u
Total amount that Vincent paid
= 1 u + 9.60 + 1 u
= 2 u + 9.60
2 u + 9.60 = 49.90
2 u = 49.90 - 9.60
2 u = 40.30
1 u = 40.30 ÷ 2 = 20.15
Sale price of the 1st book
= 1 u + 9.60
= $29.75
85% of the price = $29.75
100% of the price =
29.7585 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $7.05; (b) $35