PSLE A shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gem and Will each bought two books at the sale.
- Gem's books were priced at $26 and $35. How much more did she pay for the 1st book than the 2nd book?
- Will paid a total of $62.75 for his two books. He paid $3.55 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $35 |
100% $26 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 35
=
85100 x 35
= $29.75
Selling price of 2nd book
= 80% x 26
=
80100 x 26
= $20.80
Amount that Gem paid more for the 1st book than the 2nd book
= 29.75 - 20.80
= $8.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $3.55 |
1 u |
$62.75 |
(b)
Sale price of the 1st book = 1 u + 3.55
Sale price of the 2nd book = 1 u
Total amount that Will paid
= 1 u + 3.55 + 1 u
= 2 u + 3.55
2 u + 3.55 = 62.75
2 u = 62.75 - 3.55
2 u = 59.20
1 u = 59.20 ÷ 2 = 29.60
Sale price of the 1st book
= 1 u + 3.55
= $33.15
85% of the price = $33.15
100% of the price =
33.1585 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $8.95; (b) $39