PSLE A store is having a book sale. The 1st book is at 5% discount. The 2nd book is at 10% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Tiffany's books were priced at $26 and $36. How much less did she pay for the 2nd book than the 1st book?
- Harry paid a total of $58.45 for his two books. He paid $8.05 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $36 |
100% $26 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 90% x 26
=
90100 x 26
= $23.40
Amount that Tiffany paid less for the 2nd book than the 1st book
= 34.20 - 23.40
= $10.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $8.05 |
1 u |
$58.45 |
(b)
Sale price of the 1st book = 1 u + 8.05
Sale price of the 2nd book = 1 u
Total amount that Harry paid
= 1 u + 8.05 + 1 u
= 2 u + 8.05
2 u + 8.05 = 58.45
2 u = 58.45 - 8.05
2 u = 50.40
1 u = 50.40 ÷ 2 = 25.20
Sale price of the 1st book
= 1 u + 8.05
= $33.25
95% of the price = $33.25
100% of the price =
33.2595 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $10.80; (b) $35