PSLE A store is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Joelle and Fabian each bought two books at the sale.
- Joelle's books were priced at $36 and $37. How much did she pay for them?
- Fabian paid a total of $37.75 for his two books. He paid $5.45 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% $37 |
100% $36 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 37
=
90100 x 37
= $33.30
Selling price of 2nd book
= 85% x 36
=
85100 x 36
= $30.60
Total amount that Joelle paid
= 33.30 + 30.60
= $63.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $5.45 |
1 u |
$37.75 |
(b)
Sale price of the 1st book = 1 u + 5.45
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 5.45 + 1 u
= 2 u + 5.45
2 u + 5.45 = 37.75
2 u = 37.75 - 5.45
2 u = 32.30
1 u = 32.30 ÷ 2 = 16.15
Sale price of the 2nd book = $16.15
85% of the price = $16.15
100% of the price =
16.1585 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $63.90; (b) $19