PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% 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.
Shiyun and Ryan each bought two books at the sale.
- Shiyun's books were priced at $14 and $25. How much did she pay for them?
- Ryan paid a total of $46.45 for his two books. He paid $3.95 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $25 |
100% $14 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 25
=
90100 x 25
= $22.50
Selling price of 2nd book
= 85% x 14
=
85100 x 14
= $11.90
Total amount that Shiyun paid
= 22.50 + 11.90
= $34.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $3.95 |
1 u |
$46.45 |
(b)
Sale price of the 1st book = 1 u + 3.95
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 3.95 + 1 u
= 2 u + 3.95
2 u + 3.95 = 46.45
2 u = 46.45 - 3.95
2 u = 42.50
1 u = 42.50 ÷ 2 = 21.25
Sale price of the 2nd book = $21.25
85% of the price = $21.25
100% of the price =
21.2585 x 100 = $25
Selling price of the 2nd book before discount = $25
Answer(s): (a) $34.40; (b) $25