PSLE A book shop 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.
Shannon and Fabian each bought two books at the sale.
- Shannon's books were priced at $6 and $13. How much less did she pay for the 2nd book than the 1st book?
- Fabian paid a total of $52.50 for his two books. He paid $8.30 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% $13 |
100% $6 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 13
=
95100 x 13
= $12.35
Selling price of 2nd book
= 85% x 6
=
85100 x 6
= $5.10
Amount that Shannon paid less for the 2nd book than the 1st book
= 12.35 - 5.10
= $7.25
|
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 + $8.30 |
1 u |
$52.50 |
(b)
Sale price of the 1st book = 1 u + 8.30
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 8.30 + 1 u
= 2 u + 8.30
2 u + 8.30 = 52.50
2 u = 52.50 - 8.30
2 u = 44.20
1 u = 44.20 ÷ 2 = 22.10
Sale price of the 1st book
= 1 u + 8.30
= $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) $7.25; (b) $32