PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% 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.
Gwen and Valen each bought two books at the sale.
- Gwen's books were priced at $19 and $23. How much did she pay for them?
- Valen paid a total of $44.60 for his two books. He paid $9.80 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% $23 |
100% $19 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 23
=
80100 x 23
= $18.40
Selling price of 2nd book
= 60% x 19
=
60100 x 19
= $11.40
Total amount that Gwen paid
= 18.40 + 11.40
= $29.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $9.80 |
1 u |
$44.60 |
(b)
Sale price of the 1st book = 1 u + 9.80
Sale price of the 2nd book = 1 u
Total amount that Valen paid
= 1 u + 9.80 + 1 u
= 2 u + 9.80
2 u + 9.80 = 44.60
2 u = 44.60 - 9.80
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Sale price of the 2nd book = $17.40
60% of the price = $17.40
100% of the price =
17.4060 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $29.80; (b) $29