PSLE A stationery shop is having a book sale.
The 1st book is at 15% 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.
Betty and Brandon each bought two books at the sale.
- Betty's books were priced at $5 and $10. How much did she pay for them?
- Brandon paid a total of $39.60 for his two books. He paid $9.70 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% $10 |
100% $5 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 10
=
85100 x 10
= $8.50
Selling price of 2nd book
= 65% x 5
=
65100 x 5
= $3.25
Total amount that Betty paid
= 8.50 + 3.25
= $11.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.70 |
1 u |
$39.60 |
(b)
Sale price of the 1st book = 1 u + 9.70
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 9.70 + 1 u
= 2 u + 9.70
2 u + 9.70 = 39.60
2 u = 39.60 - 9.70
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 2nd book = $14.95
65% of the price = $14.95
100% of the price =
14.9565 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $11.75; (b) $23