PSLE A book shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Olivia and Brandon each bought two books at the sale.
- Olivia's books were priced at $14 and $14. How much did she pay for them?
- Brandon paid a total of $47.45 for his two books. He paid $6.95 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% $14 |
100% $14 |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85% |
75% |
? |
(a)
Selling price of the 1st book
= 85% x 14
=
85100 x 14
= $11.90
Selling price of 2nd book
= 75% x 14
=
75100 x 14
= $10.50
Total amount that Olivia paid
= 11.90 + 10.50
= $22.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $6.95 |
1 u |
$47.45 |
(b)
Sale price of the 1st book = 1 u + 6.95
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 6.95 + 1 u
= 2 u + 6.95
2 u + 6.95 = 47.45
2 u = 47.45 - 6.95
2 u = 40.50
1 u = 40.50 ÷ 2 = 20.25
Sale price of the 2nd book = $20.25
75% of the price = $20.25
100% of the price =
20.2575 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $22.40; (b) $27