PSLE A shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Penelope and Ryan each bought two books at the sale.
- Penelope's books were priced at $34 and $37. How much did she pay for them?
- Ryan paid a total of $54.60 for his two books. He paid $8.40 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% $37 |
100% $34 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 37
=
90100 x 37
= $33.30
Selling price of 2nd book
= 70% x 34
=
70100 x 34
= $23.80
Total amount that Penelope paid
= 33.30 + 23.80
= $57.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.40 |
1 u |
$54.60 |
(b)
Sale price of the 1st book = 1 u + 8.40
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 8.40 + 1 u
= 2 u + 8.40
2 u + 8.40 = 54.60
2 u = 54.60 - 8.40
2 u = 46.20
1 u = 46.20 ÷ 2 = 23.10
Sale price of the 2nd book = $23.10
70% of the price = $23.10
100% of the price =
23.1070 x 100 = $33
Selling price of the 2nd book before discount = $33
Answer(s): (a) $57.10; (b) $33