PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Betty and Henry each bought two books at the sale.
- Betty's books were priced at $23 and $24. How much did she pay for them?
- Henry paid a total of $36.10 for his two books. He paid $7.60 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $24 |
100% $23 |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95% |
75% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 75% x 23
=
75100 x 23
= $17.25
Total amount that Betty paid
= 22.80 + 17.25
= $40.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $7.60 |
1 u |
$36.10 |
(b)
Sale price of the 1st book = 1 u + 7.60
Sale price of the 2nd book = 1 u
Total amount that Henry paid
= 1 u + 7.60 + 1 u
= 2 u + 7.60
2 u + 7.60 = 36.10
2 u = 36.10 - 7.60
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 2nd book = $14.25
75% of the price = $14.25
100% of the price =
14.2575 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $40.05; (b) $19