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.
Penelope and Andy each bought two books at the sale.
- Penelope's books were priced at $11 and $14. How much did she pay for them?
- Andy paid a total of $57.10 for his two books. He paid $7.50 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% $14 |
100% $11 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 14
=
85100 x 14
= $11.90
Selling price of 2nd book
= 80% x 11
=
80100 x 11
= $8.80
Total amount that Penelope paid
= 11.90 + 8.80
= $20.70
|
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 + $7.50 |
1 u |
$57.10 |
(b)
Sale price of the 1st book = 1 u + 7.50
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 7.50 + 1 u
= 2 u + 7.50
2 u + 7.50 = 57.10
2 u = 57.10 - 7.50
2 u = 49.60
1 u = 49.60 ÷ 2 = 24.80
Sale price of the 2nd book = $24.80
80% of the price = $24.80
100% of the price =
24.8080 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $20.70; (b) $31