PSLE A bookstore 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.
Fanny and Albert each bought two books at the sale.
- Fanny's books were priced at $25 and $27. How much did she pay for them?
- Albert paid a total of $44.30 for his two books. He paid $11.80 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% $25 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 27
=
85100 x 27
= $22.95
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Total amount that Fanny paid
= 22.95 + 16.25
= $39.20
|
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 + $11.80 |
1 u |
$44.30 |
(b)
Sale price of the 1st book = 1 u + 11.80
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 11.80 + 1 u
= 2 u + 11.80
2 u + 11.80 = 44.30
2 u = 44.30 - 11.80
2 u = 32.50
1 u = 32.50 ÷ 2 = 16.25
Sale price of the 2nd book = $16.25
65% of the price = $16.25
100% of the price =
16.2565 x 100 = $25
Selling price of the 2nd book before discount = $25
Answer(s): (a) $39.20; (b) $25