PSLE A shop 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.
Jade and Caden each bought two books at the sale.
- Jade's books were priced at $32 and $38. How much more did she pay for the 1st book than the 2nd book?
- Caden paid a total of $50.75 for his two books. He paid $10.45 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $38 |
100% $32 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 38
=
90100 x 38
= $34.20
Selling price of 2nd book
= 65% x 32
=
65100 x 32
= $20.80
Amount that Jade paid more for the 1st book than the 2nd book
= 34.20 - 20.80
= $13.40
|
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 + $10.45 |
1 u |
$50.75 |
(b)
Sale price of the 1st book = 1 u + 10.45
Sale price of the 2nd book = 1 u
Total amount that Caden paid
= 1 u + 10.45 + 1 u
= 2 u + 10.45
2 u + 10.45 = 50.75
2 u = 50.75 - 10.45
2 u = 40.30
1 u = 40.30 ÷ 2 = 20.15
Sale price of the 1st book
= 1 u + 10.45
= $30.60
90% of the price = $30.60
100% of the price =
30.6090 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $13.40; (b) $34