PSLE A book shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Zara and Eric each bought two books at the sale.
- Zara's books were priced at $23 and $38. How much more did she pay for the 1st book than the 2nd book?
- Eric paid a total of $30.45 for his two books. He paid $10.95 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% $38 |
100% $23 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 38
=
90100 x 38
= $34.20
Selling price of 2nd book
= 65% x 23
=
65100 x 23
= $14.95
Amount that Zara paid more for the 1st book than the 2nd book
= 34.20 - 14.95
= $19.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.95 |
1 u |
$30.45 |
(b)
Sale price of the 1st book = 1 u + 10.95
Sale price of the 2nd book = 1 u
Total amount that Eric paid
= 1 u + 10.95 + 1 u
= 2 u + 10.95
2 u + 10.95 = 30.45
2 u = 30.45 - 10.95
2 u = 19.50
1 u = 19.50 ÷ 2 = 9.75
Sale price of the 1st book
= 1 u + 10.95
= $20.70
90% of the price = $20.70
100% of the price =
20.7090 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $19.25; (b) $23