PSLE A store is having a book sale. The 1st book is at 5% 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.
- Tina's books were priced at $25 and $32. How much did she pay for them?
- Eric paid a total of $34.70 for his two books. He paid $10.90 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% $32 |
100% $25 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 32
=
95100 x 32
= $30.40
Selling price of 2nd book
= 70% x 25
=
70100 x 25
= $17.50
Total amount that Tina paid
= 30.40 + 17.50
= $47.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $10.90 |
1 u |
$34.70 |
(b)
Sale price of the 1st book = 1 u + 10.90
Sale price of the 2nd book = 1 u
Total amount that Eric paid
= 1 u + 10.90 + 1 u
= 2 u + 10.90
2 u + 10.90 = 34.70
2 u = 34.70 - 10.90
2 u = 23.80
1 u = 23.80 ÷ 2 = 11.90
Sale price of the 2nd book = $11.90
70% of the price = $11.90
100% of the price =
11.9070 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $47.90; (b) $17