PSLE A bookstore is having a book sale. The 1st book is at 25% discount. The 2nd book is at 30% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Nora's books were priced at $25 and $27. How much did she pay for them?
- Paul paid a total of $30.70 for his two books. He paid $8.30 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 |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 27
=
75100 x 27
= $20.25
Selling price of 2nd book
= 70% x 25
=
70100 x 25
= $17.50
Total amount that Nora paid
= 20.25 + 17.50
= $37.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.30 |
1 u |
$30.70 |
(b)
Sale price of the 1st book = 1 u + 8.30
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 8.30 + 1 u
= 2 u + 8.30
2 u + 8.30 = 30.70
2 u = 30.70 - 8.30
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Sale price of the 2nd book = $11.20
70% of the price = $11.20
100% of the price =
11.2070 x 100 = $16
Selling price of the 2nd book before discount = $16
Answer(s): (a) $37.75; (b) $16