PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gwen and Neave each bought two books at the sale.
- Gwen's books were priced at $24 and $31. How much did she pay for them?
- Neave paid a total of $51.75 for his two books. He paid $16.65 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% $31 |
100% $24 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 31
=
95100 x 31
= $29.45
Selling price of 2nd book
= 65% x 24
=
65100 x 24
= $15.60
Total amount that Gwen paid
= 29.45 + 15.60
= $45.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $16.65 |
1 u |
$51.75 |
(b)
Sale price of the 1st book = 1 u + 16.65
Sale price of the 2nd book = 1 u
Total amount that Neave paid
= 1 u + 16.65 + 1 u
= 2 u + 16.65
2 u + 16.65 = 51.75
2 u = 51.75 - 16.65
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 2nd book = $17.55
65% of the price = $17.55
100% of the price =
17.5565 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $45.05; (b) $27