PSLE A store is having a book sale.
The 1st book is at 20% 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.
Penelope and Flynn each bought two books at the sale.
- Penelope's books were priced at $11 and $22. How much did she pay for them?
- Flynn paid a total of $40.60 for his two books. He paid $4.20 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% $22 |
100% $11 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 22
=
80100 x 22
= $17.60
Selling price of 2nd book
= 70% x 11
=
70100 x 11
= $7.70
Total amount that Penelope paid
= 17.60 + 7.70
= $25.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $4.20 |
1 u |
$40.60 |
(b)
Sale price of the 1st book = 1 u + 4.20
Sale price of the 2nd book = 1 u
Total amount that Flynn paid
= 1 u + 4.20 + 1 u
= 2 u + 4.20
2 u + 4.20 = 40.60
2 u = 40.60 - 4.20
2 u = 36.40
1 u = 36.40 ÷ 2 = 18.20
Sale price of the 2nd book = $18.20
70% of the price = $18.20
100% of the price =
18.2070 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $25.30; (b) $26