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.
Rachel and Brandon each bought two books at the sale.
- Rachel's books were priced at $18 and $33. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $56.95 for his two books. He paid $4.25 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% $18 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 33
=
90100 x 33
= $29.70
Selling price of 2nd book
= 85% x 18
=
85100 x 18
= $15.30
Amount that Rachel paid more for the 1st book than the 2nd book
= 29.70 - 15.30
= $14.40
|
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 + $4.25 |
1 u |
$56.95 |
(b)
Sale price of the 1st book = 1 u + 4.25
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 4.25 + 1 u
= 2 u + 4.25
2 u + 4.25 = 56.95
2 u = 56.95 - 4.25
2 u = 52.70
1 u = 52.70 ÷ 2 = 26.35
Sale price of the 1st book
= 1 u + 4.25
= $30.60
90% of the price = $30.60
100% of the price =
30.6090 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $14.40; (b) $34