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.
Jane and Fabian each bought two books at the sale.
- Jane's books were priced at $27 and $36. How much did she pay for them?
- Fabian paid a total of $34.40 for his two books. He paid $5.50 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $36 |
100% $27 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 85% x 27
=
85100 x 27
= $22.95
Total amount that Jane paid
= 34.20 + 22.95
= $57.15
|
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 + $5.50 |
1 u |
$34.40 |
(b)
Sale price of the 1st book = 1 u + 5.50
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 5.50 + 1 u
= 2 u + 5.50
2 u + 5.50 = 34.40
2 u = 34.40 - 5.50
2 u = 28.90
1 u = 28.90 ÷ 2 = 14.45
Sale price of the 2nd book = $14.45
85% of the price = $14.45
100% of the price =
14.4585 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $57.15; (b) $17