PSLE A store is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Risa and Jenson each bought two books at the sale.
- Risa's books were priced at $29 and $33. How much less did she pay for the 2nd book than the 1st book?
- Jenson paid a total of $46.85 for his two books. He paid $14.35 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% $33 |
100% $29 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 33
=
90100 x 33
= $29.70
Selling price of 2nd book
= 65% x 29
=
65100 x 29
= $18.85
Amount that Risa paid less for the 2nd book than the 1st book
= 29.70 - 18.85
= $10.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $14.35 |
1 u |
$46.85 |
(b)
Sale price of the 1st book = 1 u + 14.35
Sale price of the 2nd book = 1 u
Total amount that Jenson paid
= 1 u + 14.35 + 1 u
= 2 u + 14.35
2 u + 14.35 = 46.85
2 u = 46.85 - 14.35
2 u = 32.50
1 u = 32.50 ÷ 2 = 16.25
Sale price of the 1st book
= 1 u + 14.35
= $30.60
90% of the price = $30.60
100% of the price =
30.6090 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $10.85; (b) $34