PSLE A stationery kiosk 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.
Natalie and George each bought two books at the sale.
- Natalie's books were priced at $24 and $27. How much less did she pay for the 2nd book than the 1st book?
- George paid a total of $51.25 for his two books. He paid $5.75 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% $27 |
100% $24 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 27
=
75100 x 27
= $20.25
Selling price of 2nd book
= 65% x 24
=
65100 x 24
= $15.60
Amount that Natalie paid less for the 2nd book than the 1st book
= 20.25 - 15.60
= $4.65
|
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 + $5.75 |
1 u |
$51.25 |
(b)
Sale price of the 1st book = 1 u + 5.75
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 5.75 + 1 u
= 2 u + 5.75
2 u + 5.75 = 51.25
2 u = 51.25 - 5.75
2 u = 45.50
1 u = 45.50 ÷ 2 = 22.75
Sale price of the 1st book
= 1 u + 5.75
= $28.50
75% of the price = $28.50
100% of the price =
28.5075 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $4.65; (b) $38