PSLE A stationery kiosk is having a book sale. The 1st book is at 5% discount. The 2nd book is at 10% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Anna's books were priced at $1 and $11. How much more did she pay for the 1st book than the 2nd book?
- Cody paid a total of $54.70 for his two books. He paid $6.10 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% $11 |
100% $1 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 11
=
95100 x 11
= $10.45
Selling price of 2nd book
= 90% x 1
=
90100 x 1
= $0.90
Amount that Anna paid more for the 1st book than the 2nd book
= 10.45 - 0.90
= $9.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $6.10 |
1 u |
$54.70 |
(b)
Sale price of the 1st book = 1 u + 6.10
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 6.10 + 1 u
= 2 u + 6.10
2 u + 6.10 = 54.70
2 u = 54.70 - 6.10
2 u = 48.60
1 u = 48.60 ÷ 2 = 24.30
Sale price of the 1st book
= 1 u + 6.10
= $30.40
95% of the price = $30.40
100% of the price =
30.4095 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $9.55; (b) $32