PSLE A stationery shop is having a book sale.
The 1st book is at 25% 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.
Jen and Fabian each bought two books at the sale.
- Jen's books were priced at $10 and $21. How much more did she pay for the 1st book than the 2nd book?
- Fabian paid a total of $40.35 for his two books. He paid $9.15 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% $21 |
100% $10 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 21
=
75100 x 21
= $15.75
Selling price of 2nd book
= 65% x 10
=
65100 x 10
= $6.50
Amount that Jen paid more for the 1st book than the 2nd book
= 15.75 - 6.50
= $9.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.15 |
1 u |
$40.35 |
(b)
Sale price of the 1st book = 1 u + 9.15
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 9.15 + 1 u
= 2 u + 9.15
2 u + 9.15 = 40.35
2 u = 40.35 - 9.15
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 1st book
= 1 u + 9.15
= $24.75
75% of the price = $24.75
100% of the price =
24.7575 x 100 = $33
Selling price of the 1st book before discount = $33
Answer(s): (a) $9.25; (b) $33