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.
Cindy and Fred each bought two books at the sale.
- Cindy's books were priced at $4 and $14. How much did she pay for them?
- Fred paid a total of $34.45 for his two books. He paid $9.25 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% $14 |
100% $4 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 14
=
95100 x 14
= $13.30
Selling price of 2nd book
= 90% x 4
=
90100 x 4
= $3.60
Total amount that Cindy paid
= 13.30 + 3.60
= $16.90
|
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 + $9.25 |
1 u |
$34.45 |
(b)
Sale price of the 1st book = 1 u + 9.25
Sale price of the 2nd book = 1 u
Total amount that Fred paid
= 1 u + 9.25 + 1 u
= 2 u + 9.25
2 u + 9.25 = 34.45
2 u = 34.45 - 9.25
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 2nd book = $12.60
90% of the price = $12.60
100% of the price =
12.6090 x 100 = $14
Selling price of the 2nd book before discount = $14
Answer(s): (a) $16.90; (b) $14