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.
Cathy and Andy each bought two books at the sale.
- Cathy's books were priced at $15 and $17. How much did she pay for them?
- Andy paid a total of $35.25 for his two books. He paid $4.65 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% $17 |
100% $15 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 17
=
95100 x 17
= $16.15
Selling price of 2nd book
= 90% x 15
=
90100 x 15
= $13.50
Total amount that Cathy paid
= 16.15 + 13.50
= $29.65
|
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 + $4.65 |
1 u |
$35.25 |
(b)
Sale price of the 1st book = 1 u + 4.65
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 4.65 + 1 u
= 2 u + 4.65
2 u + 4.65 = 35.25
2 u = 35.25 - 4.65
2 u = 30.60
1 u = 30.60 ÷ 2 = 15.30
Sale price of the 2nd book = $15.30
90% of the price = $15.30
100% of the price =
15.3090 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $29.65; (b) $17