PSLE A bookstore 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.
Raeann and Justin each bought two books at the sale.
- Raeann's books were priced at $21 and $35. How much more did she pay for the 1st book than the 2nd book?
- Justin paid a total of $36.70 for his two books. He paid $14.60 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% $35 |
100% $21 |
|
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 21
=
65100 x 21
= $13.65
Amount that Raeann paid more for the 1st book than the 2nd book
= 33.25 - 13.65
= $19.60
|
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 + $14.60 |
1 u |
$36.70 |
(b)
Sale price of the 1st book = 1 u + 14.60
Sale price of the 2nd book = 1 u
Total amount that Justin paid
= 1 u + 14.60 + 1 u
= 2 u + 14.60
2 u + 14.60 = 36.70
2 u = 36.70 - 14.60
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 1st book
= 1 u + 14.60
= $25.65
95% of the price = $25.65
100% of the price =
25.6595 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $19.60; (b) $27