PSLE A stationery kiosk is having a book sale. The 1st book is at 5% discount. The 2nd book is at 15% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Eva's books were priced at $26 and $39. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $48.90 for his two books. He paid $8.10 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% $39 |
100% $26 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 39
=
95100 x 39
= $37.05
Selling price of 2nd book
= 85% x 26
=
85100 x 26
= $22.10
Amount that Eva paid more for the 1st book than the 2nd book
= 37.05 - 22.10
= $14.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $8.10 |
1 u |
$48.90 |
(b)
Sale price of the 1st book = 1 u + 8.10
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 8.10 + 1 u
= 2 u + 8.10
2 u + 8.10 = 48.90
2 u = 48.90 - 8.10
2 u = 40.80
1 u = 40.80 ÷ 2 = 20.40
Sale price of the 1st book
= 1 u + 8.10
= $28.50
95% of the price = $28.50
100% of the price =
28.5095 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $14.95; (b) $30