PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Roshel and Warren each bought two books at the sale.
- Roshel's books were priced at $35 and $37. How much did she pay for them?
- Warren paid a total of $47.30 for his two books. He paid $5.90 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% $37 |
100% $35 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 37
=
95100 x 37
= $35.15
Selling price of 2nd book
= 90% x 35
=
90100 x 35
= $31.50
Total amount that Roshel paid
= 35.15 + 31.50
= $66.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $5.90 |
1 u |
$47.30 |
(b)
Sale price of the 1st book = 1 u + 5.90
Sale price of the 2nd book = 1 u
Total amount that Warren paid
= 1 u + 5.90 + 1 u
= 2 u + 5.90
2 u + 5.90 = 47.30
2 u = 47.30 - 5.90
2 u = 41.40
1 u = 41.40 ÷ 2 = 20.70
Sale price of the 2nd book = $20.70
90% of the price = $20.70
100% of the price =
20.7090 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $66.65; (b) $23