PSLE A shop is having a book sale.
The 1st book is at 10% 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.
Abi and Jenson each bought two books at the sale.
- Abi's books were priced at $29 and $35. How much did she pay for them?
- Jenson paid a total of $40.90 for his two books. He paid $4.10 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% $35 |
100% $29 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 80% x 29
=
80100 x 29
= $23.20
Total amount that Abi paid
= 31.50 + 23.20
= $54.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $4.10 |
1 u |
$40.90 |
(b)
Sale price of the 1st book = 1 u + 4.10
Sale price of the 2nd book = 1 u
Total amount that Jenson paid
= 1 u + 4.10 + 1 u
= 2 u + 4.10
2 u + 4.10 = 40.90
2 u = 40.90 - 4.10
2 u = 36.80
1 u = 36.80 ÷ 2 = 18.40
Sale price of the 2nd book = $18.40
80% of the price = $18.40
100% of the price =
18.4080 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $54.70; (b) $23