PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Shannon and Albert each bought two books at the sale.
- Shannon's books were priced at $14 and $27. How much did she pay for them?
- Albert paid a total of $30.10 for his two books. He paid $6.70 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% $27 |
100% $14 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 27
=
80100 x 27
= $21.60
Selling price of 2nd book
= 65% x 14
=
65100 x 14
= $9.10
Total amount that Shannon paid
= 21.60 + 9.10
= $30.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.70 |
1 u |
$30.10 |
(b)
Sale price of the 1st book = 1 u + 6.70
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 6.70 + 1 u
= 2 u + 6.70
2 u + 6.70 = 30.10
2 u = 30.10 - 6.70
2 u = 23.40
1 u = 23.40 ÷ 2 = 11.70
Sale price of the 2nd book = $11.70
65% of the price = $11.70
100% of the price =
11.7065 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $30.70; (b) $18