PSLE A bookstore is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xandra and Bobby each bought two books at the sale.
- Xandra's books were priced at $17 and $32. How much did she pay for them?
- Bobby paid a total of $29.10 for his two books. He paid $8.30 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% $32 |
100% $17 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 32
=
85100 x 32
= $27.20
Selling price of 2nd book
= 80% x 17
=
80100 x 17
= $13.60
Total amount that Xandra paid
= 27.20 + 13.60
= $40.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $8.30 |
1 u |
$29.10 |
(b)
Sale price of the 1st book = 1 u + 8.30
Sale price of the 2nd book = 1 u
Total amount that Bobby paid
= 1 u + 8.30 + 1 u
= 2 u + 8.30
2 u + 8.30 = 29.10
2 u = 29.10 - 8.30
2 u = 20.80
1 u = 20.80 ÷ 2 = 10.40
Sale price of the 2nd book = $10.40
80% of the price = $10.40
100% of the price =
10.4080 x 100 = $13
Selling price of the 2nd book before discount = $13
Answer(s): (a) $40.80; (b) $13