PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Tammy and Zeph each bought two books at the sale.
- Tammy's books were priced at $29 and $32. How much did she pay for them?
- Zeph paid a total of $46.45 for his two books. He paid $8.65 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $32 |
100% $29 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 32
=
95100 x 32
= $30.40
Selling price of 2nd book
= 70% x 29
=
70100 x 29
= $20.30
Total amount that Tammy paid
= 30.40 + 20.30
= $50.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.65 |
1 u |
$46.45 |
(b)
Sale price of the 1st book = 1 u + 8.65
Sale price of the 2nd book = 1 u
Total amount that Zeph paid
= 1 u + 8.65 + 1 u
= 2 u + 8.65
2 u + 8.65 = 46.45
2 u = 46.45 - 8.65
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 2nd book = $18.90
70% of the price = $18.90
100% of the price =
18.9070 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $50.70; (b) $27