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.
Nicole and Jeremy each bought two books at the sale.
- Nicole's books were priced at $13 and $13. How much more did she pay for the 1st book than the 2nd book?
- Jeremy paid a total of $29.85 for his two books. He paid $4.65 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $13 |
100% $13 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 13
=
75100 x 13
= $9.75
Selling price of 2nd book
= 70% x 13
=
70100 x 13
= $9.10
Amount that Nicole paid more for the 1st book than the 2nd book
= 9.75 - 9.10
= $0.65
|
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 + $4.65 |
1 u |
$29.85 |
(b)
Sale price of the 1st book = 1 u + 4.65
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 4.65 + 1 u
= 2 u + 4.65
2 u + 4.65 = 29.85
2 u = 29.85 - 4.65
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 4.65
= $17.25
75% of the price = $17.25
100% of the price =
17.2575 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $0.65; (b) $23