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.
Tiffany and Charlie each bought two books at the sale.
- Tiffany's books were priced at $9 and $11. How much less did she pay for the 2nd book than the 1st book?
- Charlie paid a total of $34.45 for his two books. He paid $4.55 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% $11 |
100% $9 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 11
=
75100 x 11
= $8.25
Selling price of 2nd book
= 65% x 9
=
65100 x 9
= $5.85
Amount that Tiffany paid less for the 2nd book than the 1st book
= 8.25 - 5.85
= $2.40
|
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 + $4.55 |
1 u |
$34.45 |
(b)
Sale price of the 1st book = 1 u + 4.55
Sale price of the 2nd book = 1 u
Total amount that Charlie paid
= 1 u + 4.55 + 1 u
= 2 u + 4.55
2 u + 4.55 = 34.45
2 u = 34.45 - 4.55
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 1st book
= 1 u + 4.55
= $19.50
75% of the price = $19.50
100% of the price =
19.5075 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $2.40; (b) $26