PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Opal and Luke each bought two books at the sale.
- Opal's books were priced at $26 and $30. How much less did she pay for the 2nd book than the 1st book?
- Luke paid a total of $58.50 for his two books. He paid $13.70 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $30 |
100% $26 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 30
=
95100 x 30
= $28.50
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Amount that Opal paid less for the 2nd book than the 1st book
= 28.50 - 18.20
= $10.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $13.70 |
1 u |
$58.50 |
(b)
Sale price of the 1st book = 1 u + 13.70
Sale price of the 2nd book = 1 u
Total amount that Luke paid
= 1 u + 13.70 + 1 u
= 2 u + 13.70
2 u + 13.70 = 58.50
2 u = 58.50 - 13.70
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 13.70
= $36.10
95% of the price = $36.10
100% of the price =
36.1095 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $10.30; (b) $38