PSLE A book shop is having a book sale.
The 1st book is at 20% 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.
Jen and Dylan each bought two books at the sale.
- Jen's books were priced at $22 and $23. How much did she pay for them?
- Dylan paid a total of $31.80 for his two books. He paid $11.40 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $23 |
100% $22 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 23
=
80100 x 23
= $18.40
Selling price of 2nd book
= 60% x 22
=
60100 x 22
= $13.20
Total amount that Jen paid
= 18.40 + 13.20
= $31.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $11.40 |
1 u |
$31.80 |
(b)
Sale price of the 1st book = 1 u + 11.40
Sale price of the 2nd book = 1 u
Total amount that Dylan paid
= 1 u + 11.40 + 1 u
= 2 u + 11.40
2 u + 11.40 = 31.80
2 u = 31.80 - 11.40
2 u = 20.40
1 u = 20.40 ÷ 2 = 10.20
Sale price of the 2nd book = $10.20
60% of the price = $10.20
100% of the price =
10.2060 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $31.60; (b) $17