PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Anna and Liam each bought two books at the sale.
- Anna's books were priced at $8 and $15. How much less did she pay for the 2nd book than the 1st book?
- Liam paid a total of $46.90 for his two books. He paid $4.40 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% $15 |
100% $8 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 15
=
95100 x 15
= $14.25
Selling price of 2nd book
= 85% x 8
=
85100 x 8
= $6.80
Amount that Anna paid less for the 2nd book than the 1st book
= 14.25 - 6.80
= $7.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $4.40 |
1 u |
$46.90 |
(b)
Sale price of the 1st book = 1 u + 4.40
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 4.40 + 1 u
= 2 u + 4.40
2 u + 4.40 = 46.90
2 u = 46.90 - 4.40
2 u = 42.50
1 u = 42.50 ÷ 2 = 21.25
Sale price of the 1st book
= 1 u + 4.40
= $25.65
95% of the price = $25.65
100% of the price =
25.6595 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $7.45; (b) $27