PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Lynn and Brandon each bought two books at the sale.
- Lynn's books were priced at $6 and $15. How much did she pay for them?
- Brandon paid a total of $30.25 for his two books. He paid $13.45 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% $15 |
100% $6 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 15
=
95100 x 15
= $14.25
Selling price of 2nd book
= 60% x 6
=
60100 x 6
= $3.60
Total amount that Lynn paid
= 14.25 + 3.60
= $17.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $13.45 |
1 u |
$30.25 |
(b)
Sale price of the 1st book = 1 u + 13.45
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 13.45 + 1 u
= 2 u + 13.45
2 u + 13.45 = 30.25
2 u = 30.25 - 13.45
2 u = 16.80
1 u = 16.80 ÷ 2 = 8.40
Sale price of the 2nd book = $8.40
60% of the price = $8.40
100% of the price =
8.4060 x 100 = $14
Selling price of the 2nd book before discount = $14
Answer(s): (a) $17.85; (b) $14