PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gwen and Asher each bought two books at the sale.
- Gwen's books were priced at $21 and $26. How much more did she pay for the 1st book than the 2nd book?
- Asher paid a total of $51.65 for his two books. He paid $11.35 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $26 |
100% $21 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 26
=
90100 x 26
= $23.40
Selling price of 2nd book
= 65% x 21
=
65100 x 21
= $13.65
Amount that Gwen paid more for the 1st book than the 2nd book
= 23.40 - 13.65
= $9.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $11.35 |
1 u |
$51.65 |
(b)
Sale price of the 1st book = 1 u + 11.35
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 11.35 + 1 u
= 2 u + 11.35
2 u + 11.35 = 51.65
2 u = 51.65 - 11.35
2 u = 40.30
1 u = 40.30 ÷ 2 = 20.15
Sale price of the 1st book
= 1 u + 11.35
= $31.50
90% of the price = $31.50
100% of the price =
31.5090 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $9.75; (b) $35