PSLE A book shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Hazel and Flynn each bought two books at the sale.
- Hazel's books were priced at $17 and $17. How much did she pay for them?
- Flynn paid a total of $50.10 for his two books. He paid $12.90 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% $17 |
100% $17 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 17
=
90100 x 17
= $15.30
Selling price of 2nd book
= 60% x 17
=
60100 x 17
= $10.20
Total amount that Hazel paid
= 15.30 + 10.20
= $25.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $12.90 |
1 u |
$50.10 |
(b)
Sale price of the 1st book = 1 u + 12.90
Sale price of the 2nd book = 1 u
Total amount that Flynn paid
= 1 u + 12.90 + 1 u
= 2 u + 12.90
2 u + 12.90 = 50.10
2 u = 50.10 - 12.90
2 u = 37.20
1 u = 37.20 ÷ 2 = 18.60
Sale price of the 2nd book = $18.60
60% of the price = $18.60
100% of the price =
18.6060 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $25.50; (b) $31