PSLE A book shop 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.
Gillian and Billy each bought two books at the sale.
- Gillian's books were priced at $24 and $33. How much did she pay for them?
- Billy paid a total of $69.45 for his two books. He paid $4.65 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $33 |
100% $24 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 90% x 24
=
90100 x 24
= $21.60
Total amount that Gillian paid
= 31.35 + 21.60
= $52.95
|
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 |
$69.45 |
(b)
Sale price of the 1st book = 1 u + 4.65
Sale price of the 2nd book = 1 u
Total amount that Billy paid
= 1 u + 4.65 + 1 u
= 2 u + 4.65
2 u + 4.65 = 69.45
2 u = 69.45 - 4.65
2 u = 64.80
1 u = 64.80 ÷ 2 = 32.40
Sale price of the 2nd book = $32.40
90% of the price = $32.40
100% of the price =
32.4090 x 100 = $36
Selling price of the 2nd book before discount = $36
Answer(s): (a) $52.95; (b) $36