PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Sarah and Bryan each bought two books at the sale.
- Sarah's books were priced at $19 and $33. How much less did she pay for the 2nd book than the 1st book?
- Bryan paid a total of $52.90 for his two books. He paid $19.30 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% $33 |
100% $19 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 60% x 19
=
60100 x 19
= $11.40
Amount that Sarah paid less for the 2nd book than the 1st book
= 31.35 - 11.40
= $19.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $19.30 |
1 u |
$52.90 |
(b)
Sale price of the 1st book = 1 u + 19.30
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 19.30 + 1 u
= 2 u + 19.30
2 u + 19.30 = 52.90
2 u = 52.90 - 19.30
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 1st book
= 1 u + 19.30
= $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) $19.95; (b) $38