PSLE A stationery 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.
Dana and Zeph each bought two books at the sale.
- Dana's books were priced at $17 and $28. How much did she pay for them?
- Zeph paid a total of $35.70 for his two books. He paid $9.30 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% $28 |
100% $17 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 28
=
90100 x 28
= $25.20
Selling price of 2nd book
= 60% x 17
=
60100 x 17
= $10.20
Total amount that Dana paid
= 25.20 + 10.20
= $35.40
|
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 + $9.30 |
1 u |
$35.70 |
(b)
Sale price of the 1st book = 1 u + 9.30
Sale price of the 2nd book = 1 u
Total amount that Zeph paid
= 1 u + 9.30 + 1 u
= 2 u + 9.30
2 u + 9.30 = 35.70
2 u = 35.70 - 9.30
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 2nd book = $13.20
60% of the price = $13.20
100% of the price =
13.2060 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $35.40; (b) $22