PSLE A store is having a book sale. The 1st book is at 10% 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.
- Gwen's books were priced at $12 and $12. How much did she pay for them?
- Archie paid a total of $52.30 for his two books. He paid $10.70 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% $12 |
100% $12 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 12
=
90100 x 12
= $10.80
Selling price of 2nd book
= 80% x 12
=
80100 x 12
= $9.60
Total amount that Gwen paid
= 10.80 + 9.60
= $20.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $10.70 |
1 u |
$52.30 |
(b)
Sale price of the 1st book = 1 u + 10.70
Sale price of the 2nd book = 1 u
Total amount that Archie paid
= 1 u + 10.70 + 1 u
= 2 u + 10.70
2 u + 10.70 = 52.30
2 u = 52.30 - 10.70
2 u = 41.60
1 u = 41.60 ÷ 2 = 20.80
Sale price of the 2nd book = $20.80
80% of the price = $20.80
100% of the price =
20.8080 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $20.40; (b) $26