PSLE A store is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xylia and Asher each bought two books at the sale.
- Xylia's books were priced at $9 and $14. How much less did she pay for the 2nd book than the 1st book?
- Asher paid a total of $34.15 for his two books. He paid $2.65 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% $14 |
100% $9 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 14
=
80100 x 14
= $11.20
Selling price of 2nd book
= 75% x 9
=
75100 x 9
= $6.75
Amount that Xylia paid less for the 2nd book than the 1st book
= 11.20 - 6.75
= $4.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $2.65 |
1 u |
$34.15 |
(b)
Sale price of the 1st book = 1 u + 2.65
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 2.65 + 1 u
= 2 u + 2.65
2 u + 2.65 = 34.15
2 u = 34.15 - 2.65
2 u = 31.50
1 u = 31.50 ÷ 2 = 15.75
Sale price of the 1st book
= 1 u + 2.65
= $18.40
80% of the price = $18.40
100% of the price =
18.4080 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $4.45; (b) $23