PSLE A bookstore is having a book sale.
The 1st book is at 10% 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.
Abi and Paul each bought two books at the sale.
- Abi's books were priced at $7 and $22. How much did she pay for them?
- Paul paid a total of $33.15 for his two books. He paid $4.65 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% $22 |
100% $7 |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90% |
75% |
? |
(a)
Selling price of the 1st book
= 90% x 22
=
90100 x 22
= $19.80
Selling price of 2nd book
= 75% x 7
=
75100 x 7
= $5.25
Total amount that Abi paid
= 19.80 + 5.25
= $25.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $4.65 |
1 u |
$33.15 |
(b)
Sale price of the 1st book = 1 u + 4.65
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 4.65 + 1 u
= 2 u + 4.65
2 u + 4.65 = 33.15
2 u = 33.15 - 4.65
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 2nd book = $14.25
75% of the price = $14.25
100% of the price =
14.2575 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $25.05; (b) $19