PSLE A bookstore is having a book sale.
The 1st book is at 15% 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.
Xandra and Warren each bought two books at the sale.
- Xandra's books were priced at $15 and $18. How much did she pay for them?
- Warren paid a total of $43.25 for his two books. He paid $9.45 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $18 |
100% $15 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 18
=
85100 x 18
= $15.30
Selling price of 2nd book
= 65% x 15
=
65100 x 15
= $9.75
Total amount that Xandra paid
= 15.30 + 9.75
= $25.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.45 |
1 u |
$43.25 |
(b)
Sale price of the 1st book = 1 u + 9.45
Sale price of the 2nd book = 1 u
Total amount that Warren paid
= 1 u + 9.45 + 1 u
= 2 u + 9.45
2 u + 9.45 = 43.25
2 u = 43.25 - 9.45
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 2nd book = $16.90
65% of the price = $16.90
100% of the price =
16.9065 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $25.05; (b) $26