PSLE A bookstore is having a book sale.
The 1st book is at 25% 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.
Zara and Pierre each bought two books at the sale.
- Zara's books were priced at $15 and $29. How much more did she pay for the 1st book than the 2nd book?
- Pierre paid a total of $48.05 for his two books. He paid $7.45 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% $29 |
100% $15 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 29
=
75100 x 29
= $21.75
Selling price of 2nd book
= 70% x 15
=
70100 x 15
= $10.50
Amount that Zara paid more for the 1st book than the 2nd book
= 21.75 - 10.50
= $11.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.45 |
1 u |
$48.05 |
(b)
Sale price of the 1st book = 1 u + 7.45
Sale price of the 2nd book = 1 u
Total amount that Pierre paid
= 1 u + 7.45 + 1 u
= 2 u + 7.45
2 u + 7.45 = 48.05
2 u = 48.05 - 7.45
2 u = 40.60
1 u = 40.60 ÷ 2 = 20.30
Sale price of the 1st book
= 1 u + 7.45
= $27.75
75% of the price = $27.75
100% of the price =
27.7575 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $11.25; (b) $37