PSLE A store is having a book sale. The 1st book is at 15% discount. The 2nd book is at 40% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Lynn's books were priced at $4 and $10. How much less did she pay for the 2nd book than the 1st book?
- Julian paid a total of $49.55 for his two books. He paid $9.95 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $10 |
100% $4 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 10
=
85100 x 10
= $8.50
Selling price of 2nd book
= 60% x 4
=
60100 x 4
= $2.40
Amount that Lynn paid less for the 2nd book than the 1st book
= 8.50 - 2.40
= $6.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $9.95 |
1 u |
$49.55 |
(b)
Sale price of the 1st book = 1 u + 9.95
Sale price of the 2nd book = 1 u
Total amount that Julian paid
= 1 u + 9.95 + 1 u
= 2 u + 9.95
2 u + 9.95 = 49.55
2 u = 49.55 - 9.95
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Sale price of the 1st book
= 1 u + 9.95
= $29.75
85% of the price = $29.75
100% of the price =
29.7585 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $6.10; (b) $35