PSLE A shop is having a book sale.
The 1st book is at 15% 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.
Xandra and Andy each bought two books at the sale.
- Xandra's books were priced at $35 and $39. How much did she pay for them?
- Andy paid a total of $53.95 for his two books. He paid $12.35 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% $39 |
100% $35 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 39
=
85100 x 39
= $33.15
Selling price of 2nd book
= 65% x 35
=
65100 x 35
= $22.75
Total amount that Xandra paid
= 33.15 + 22.75
= $55.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $12.35 |
1 u |
$53.95 |
(b)
Sale price of the 1st book = 1 u + 12.35
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 12.35 + 1 u
= 2 u + 12.35
2 u + 12.35 = 53.95
2 u = 53.95 - 12.35
2 u = 41.60
1 u = 41.60 ÷ 2 = 20.80
Sale price of the 2nd book = $20.80
65% of the price = $20.80
100% of the price =
20.8065 x 100 = $32
Selling price of the 2nd book before discount = $32
Answer(s): (a) $55.90; (b) $32