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.
Xandra and Nick each bought two books at the sale.
- Xandra's books were priced at $11 and $12. How much more did she pay for the 1st book than the 2nd book?
- Nick paid a total of $40.85 for his two books. He paid $8.55 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% $12 |
100% $11 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 85% x 11
=
85100 x 11
= $9.35
Amount that Xandra paid more for the 1st book than the 2nd book
= 11.40 - 9.35
= $2.05
|
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 + $8.55 |
1 u |
$40.85 |
(b)
Sale price of the 1st book = 1 u + 8.55
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 8.55 + 1 u
= 2 u + 8.55
2 u + 8.55 = 40.85
2 u = 40.85 - 8.55
2 u = 32.30
1 u = 32.30 ÷ 2 = 16.15
Sale price of the 1st book
= 1 u + 8.55
= $24.70
95% of the price = $24.70
100% of the price =
24.7095 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $2.05; (b) $26