PSLE A store is having a book sale.
The 1st book is at 20% 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.
Hazel and Vincent each bought two books at the sale.
- Hazel's books were priced at $25 and $26. How much did she pay for them?
- Vincent paid a total of $35.25 for his two books. He paid $7.95 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% $26 |
100% $25 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 26
=
80100 x 26
= $20.80
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Total amount that Hazel paid
= 20.80 + 16.25
= $37.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.95 |
1 u |
$35.25 |
(b)
Sale price of the 1st book = 1 u + 7.95
Sale price of the 2nd book = 1 u
Total amount that Vincent paid
= 1 u + 7.95 + 1 u
= 2 u + 7.95
2 u + 7.95 = 35.25
2 u = 35.25 - 7.95
2 u = 27.30
1 u = 27.30 ÷ 2 = 13.65
Sale price of the 2nd book = $13.65
65% of the price = $13.65
100% of the price =
13.6565 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $37.05; (b) $21