PSLE A book shop 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.
Xuan and Ben each bought two books at the sale.
- Xuan's books were priced at $11 and $26. How much less did she pay for the 2nd book than the 1st book?
- Ben paid a total of $55.25 for his two books. He paid $5.95 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% $26 |
100% $11 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 26
=
90100 x 26
= $23.40
Selling price of 2nd book
= 85% x 11
=
85100 x 11
= $9.35
Amount that Xuan paid less for the 2nd book than the 1st book
= 23.40 - 9.35
= $14.05
|
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 + $5.95 |
1 u |
$55.25 |
(b)
Sale price of the 1st book = 1 u + 5.95
Sale price of the 2nd book = 1 u
Total amount that Ben paid
= 1 u + 5.95 + 1 u
= 2 u + 5.95
2 u + 5.95 = 55.25
2 u = 55.25 - 5.95
2 u = 49.30
1 u = 49.30 ÷ 2 = 24.65
Sale price of the 1st book
= 1 u + 5.95
= $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) $14.05; (b) $34