PSLE A book shop is having a book sale.
The 1st book is at 25% 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.
Hazel and Jeremy each bought two books at the sale.
- Hazel's books were priced at $16 and $22. How much less did she pay for the 2nd book than the 1st book?
- Jeremy paid a total of $49.05 for his two books. He paid $9.45 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% $22 |
100% $16 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 22
=
75100 x 22
= $16.50
Selling price of 2nd book
= 60% x 16
=
60100 x 16
= $9.60
Amount that Hazel paid less for the 2nd book than the 1st book
= 16.50 - 9.60
= $6.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $9.45 |
1 u |
$49.05 |
(b)
Sale price of the 1st book = 1 u + 9.45
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 9.45 + 1 u
= 2 u + 9.45
2 u + 9.45 = 49.05
2 u = 49.05 - 9.45
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Sale price of the 1st book
= 1 u + 9.45
= $29.25
75% of the price = $29.25
100% of the price =
29.2575 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $6.90; (b) $39