PSLE A stationery 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.
Penelope and Michael each bought two books at the sale.
- Penelope's books were priced at $29 and $31. How much did she pay for them?
- Michael paid a total of $34.45 for his two books. He paid $8.05 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% $31 |
100% $29 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 31
=
85100 x 31
= $26.35
Selling price of 2nd book
= 60% x 29
=
60100 x 29
= $17.40
Total amount that Penelope paid
= 26.35 + 17.40
= $43.75
|
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 + $8.05 |
1 u |
$34.45 |
(b)
Sale price of the 1st book = 1 u + 8.05
Sale price of the 2nd book = 1 u
Total amount that Michael paid
= 1 u + 8.05 + 1 u
= 2 u + 8.05
2 u + 8.05 = 34.45
2 u = 34.45 - 8.05
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 2nd book = $13.20
60% of the price = $13.20
100% of the price =
13.2060 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $43.75; (b) $22