PSLE A store 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.
Cindy and Albert each bought two books at the sale.
- Cindy's books were priced at $13 and $17. How much less did she pay for the 2nd book than the 1st book?
- Albert paid a total of $34.50 for his two books. He paid $14.10 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% $17 |
100% $13 |
|
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 13
=
60100 x 13
= $7.80
Amount that Cindy paid less for the 2nd book than the 1st book
= 15.30 - 7.80
= $7.50
|
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 + $14.10 |
1 u |
$34.50 |
(b)
Sale price of the 1st book = 1 u + 14.10
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 14.10 + 1 u
= 2 u + 14.10
2 u + 14.10 = 34.50
2 u = 34.50 - 14.10
2 u = 20.40
1 u = 20.40 ÷ 2 = 10.20
Sale price of the 1st book
= 1 u + 14.10
= $24.30
90% of the price = $24.30
100% of the price =
24.3090 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $7.50; (b) $27