PSLE A shop is having a book sale.
The 1st book is at 15% 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.
Joelle and Cody each bought two books at the sale.
- Joelle's books were priced at $17 and $31. How much did she pay for them?
- Cody paid a total of $45.45 for his two books. He paid $3.85 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $31 |
100% $17 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 31
=
85100 x 31
= $26.35
Selling price of 2nd book
= 80% x 17
=
80100 x 17
= $13.60
Total amount that Joelle paid
= 26.35 + 13.60
= $39.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $3.85 |
1 u |
$45.45 |
(b)
Sale price of the 1st book = 1 u + 3.85
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 3.85 + 1 u
= 2 u + 3.85
2 u + 3.85 = 45.45
2 u = 45.45 - 3.85
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) $39.95; (b) $26