PSLE A store is having a book sale.
The 1st book is at 15% 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.
Jean and Andy each bought two books at the sale.
- Jean's books were priced at $32 and $35. How much did she pay for them?
- Andy paid a total of $54.40 for his two books. He paid $6.80 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% $35 |
100% $32 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 35
=
85100 x 35
= $29.75
Selling price of 2nd book
= 70% x 32
=
70100 x 32
= $22.40
Total amount that Jean paid
= 29.75 + 22.40
= $52.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $6.80 |
1 u |
$54.40 |
(b)
Sale price of the 1st book = 1 u + 6.80
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 6.80 + 1 u
= 2 u + 6.80
2 u + 6.80 = 54.40
2 u = 54.40 - 6.80
2 u = 47.60
1 u = 47.60 ÷ 2 = 23.80
Sale price of the 2nd book = $23.80
70% of the price = $23.80
100% of the price =
23.8070 x 100 = $34
Selling price of the 2nd book before discount = $34
Answer(s): (a) $52.15; (b) $34