PSLE A shop 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.
Lucy and Liam each bought two books at the sale.
- Lucy's books were priced at $26 and $37. How much did she pay for them?
- Liam paid a total of $27.75 for his two books. He paid $12.15 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% $37 |
100% $26 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 37
=
95100 x 37
= $35.15
Selling price of 2nd book
= 65% x 26
=
65100 x 26
= $16.90
Total amount that Lucy paid
= 35.15 + 16.90
= $52.05
|
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 + $12.15 |
1 u |
$27.75 |
(b)
Sale price of the 1st book = 1 u + 12.15
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 12.15 + 1 u
= 2 u + 12.15
2 u + 12.15 = 27.75
2 u = 27.75 - 12.15
2 u = 15.60
1 u = 15.60 ÷ 2 = 7.80
Sale price of the 2nd book = $7.80
65% of the price = $7.80
100% of the price =
7.8065 x 100 = $12
Selling price of the 2nd book before discount = $12
Answer(s): (a) $52.05; (b) $12