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.
Sarah and Neave each bought two books at the sale.
- Sarah's books were priced at $22 and $36. How much did she pay for them?
- Neave paid a total of $46.25 for his two books. He paid $12.65 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% $36 |
100% $22 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 70% x 22
=
70100 x 22
= $15.40
Total amount that Sarah paid
= 34.20 + 15.40
= $49.60
|
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 + $12.65 |
1 u |
$46.25 |
(b)
Sale price of the 1st book = 1 u + 12.65
Sale price of the 2nd book = 1 u
Total amount that Neave paid
= 1 u + 12.65 + 1 u
= 2 u + 12.65
2 u + 12.65 = 46.25
2 u = 46.25 - 12.65
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 2nd book = $16.80
70% of the price = $16.80
100% of the price =
16.8070 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $49.60; (b) $24