PSLE A store is having a book sale.
The 1st book is at 10% 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 Perry each bought two books at the sale.
- Raeann's books were priced at $15 and $22. How much less did she pay for the 2nd book than the 1st book?
- Perry paid a total of $32.65 for his two books. He paid $10.55 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% $22 |
100% $15 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 22
=
90100 x 22
= $19.80
Selling price of 2nd book
= 65% x 15
=
65100 x 15
= $9.75
Amount that Raeann paid less for the 2nd book than the 1st book
= 19.80 - 9.75
= $10.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.55 |
1 u |
$32.65 |
(b)
Sale price of the 1st book = 1 u + 10.55
Sale price of the 2nd book = 1 u
Total amount that Perry paid
= 1 u + 10.55 + 1 u
= 2 u + 10.55
2 u + 10.55 = 32.65
2 u = 32.65 - 10.55
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 1st book
= 1 u + 10.55
= $21.60
90% of the price = $21.60
100% of the price =
21.6090 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $10.05; (b) $24