PSLE A store is having a book sale.
The 1st book is at 15% 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.
Barbara and Seth each bought two books at the sale.
- Barbara's books were priced at $4 and $15. How much did she pay for them?
- Seth paid a total of $38.10 for his two books. He paid $12.90 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% $15 |
100% $4 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 15
=
85100 x 15
= $12.75
Selling price of 2nd book
= 60% x 4
=
60100 x 4
= $2.40
Total amount that Barbara paid
= 12.75 + 2.40
= $15.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $12.90 |
1 u |
$38.10 |
(b)
Sale price of the 1st book = 1 u + 12.90
Sale price of the 2nd book = 1 u
Total amount that Seth paid
= 1 u + 12.90 + 1 u
= 2 u + 12.90
2 u + 12.90 = 38.10
2 u = 38.10 - 12.90
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 2nd book = $12.60
60% of the price = $12.60
100% of the price =
12.6060 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $15.15; (b) $21