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.
Anna and Tommy each bought two books at the sale.
- Anna's books were priced at $6 and $11. How much did she pay for them?
- Tommy paid a total of $38.05 for his two books. He paid $4.45 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% $11 |
100% $6 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 11
=
85100 x 11
= $9.35
Selling price of 2nd book
= 80% x 6
=
80100 x 6
= $4.80
Total amount that Anna paid
= 9.35 + 4.80
= $14.15
|
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 + $4.45 |
1 u |
$38.05 |
(b)
Sale price of the 1st book = 1 u + 4.45
Sale price of the 2nd book = 1 u
Total amount that Tommy paid
= 1 u + 4.45 + 1 u
= 2 u + 4.45
2 u + 4.45 = 38.05
2 u = 38.05 - 4.45
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 2nd book = $16.80
80% of the price = $16.80
100% of the price =
16.8080 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $14.15; (b) $21