PSLE A shop 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.
Marion and Nick each bought two books at the sale.
- Marion's books were priced at $32 and $39. How much less did she pay for the 2nd book than the 1st book?
- Nick paid a total of $38.10 for his two books. He paid $12.90 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% $39 |
100% $32 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 39
=
85100 x 39
= $33.15
Selling price of 2nd book
= 60% x 32
=
60100 x 32
= $19.20
Amount that Marion paid less for the 2nd book than the 1st book
= 33.15 - 19.20
= $13.95
|
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 + $12.90 |
1 u |
$38.10 |
(b)
Sale price of the 1st book = 1 u + 12.90
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 12.90 + 1 u
= 2 u + 12.90
2 u + 12.90 = 38.10
2 u = 38.10 - 12.90
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 12.90
= $25.50
85% of the price = $25.50
100% of the price =
25.5085 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $13.95; (b) $30