PSLE A store is having a book sale.
The 1st book is at 20% 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.
Xuan and Seth each bought two books at the sale.
- Xuan's books were priced at $24 and $34. How much did she pay for them?
- Seth paid a total of $29.45 for his two books. He paid $7.35 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% $34 |
100% $24 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 34
=
80100 x 34
= $27.20
Selling price of 2nd book
= 65% x 24
=
65100 x 24
= $15.60
Total amount that Xuan paid
= 27.20 + 15.60
= $42.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.35 |
1 u |
$29.45 |
(b)
Sale price of the 1st book = 1 u + 7.35
Sale price of the 2nd book = 1 u
Total amount that Seth paid
= 1 u + 7.35 + 1 u
= 2 u + 7.35
2 u + 7.35 = 29.45
2 u = 29.45 - 7.35
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 2nd book = $11.05
65% of the price = $11.05
100% of the price =
11.0565 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $42.80; (b) $17