PSLE A bookstore is having a book sale.
The 1st book is at 10% 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.
Gwen and Vaidev each bought two books at the sale.
- Gwen's books were priced at $25 and $33. How much did she pay for them?
- Vaidev paid a total of $39.25 for his two books. He paid $9.35 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% $33 |
100% $25 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 33
=
90100 x 33
= $29.70
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Total amount that Gwen paid
= 29.70 + 16.25
= $45.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.35 |
1 u |
$39.25 |
(b)
Sale price of the 1st book = 1 u + 9.35
Sale price of the 2nd book = 1 u
Total amount that Vaidev paid
= 1 u + 9.35 + 1 u
= 2 u + 9.35
2 u + 9.35 = 39.25
2 u = 39.25 - 9.35
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 2nd book = $14.95
65% of the price = $14.95
100% of the price =
14.9565 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $45.95; (b) $23