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.
Kathy and Cody each bought two books at the sale.
- Kathy's books were priced at $37 and $37. How much more did she pay for the 1st book than the 2nd book?
- Cody paid a total of $40.15 for his two books. He paid $6.35 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% $37 |
100% $37 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 37
=
75100 x 37
= $27.75
Selling price of 2nd book
= 65% x 37
=
65100 x 37
= $24.05
Amount that Kathy paid more for the 1st book than the 2nd book
= 27.75 - 24.05
= $3.70
|
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 + $6.35 |
1 u |
$40.15 |
(b)
Sale price of the 1st book = 1 u + 6.35
Sale price of the 2nd book = 1 u
Total amount that Cody paid
= 1 u + 6.35 + 1 u
= 2 u + 6.35
2 u + 6.35 = 40.15
2 u = 40.15 - 6.35
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 1st book
= 1 u + 6.35
= $23.25
75% of the price = $23.25
100% of the price =
23.2575 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $3.70; (b) $31