PSLE A stationery kiosk is having a book sale.
The 1st book is at 15% 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.
Xylia and Tim each bought two books at the sale.
- Xylia's books were priced at $23 and $24. How much more did she pay for the 1st book than the 2nd book?
- Tim paid a total of $47.10 for his two books. He paid $10.70 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% $24 |
100% $23 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 24
=
85100 x 24
= $20.40
Selling price of 2nd book
= 65% x 23
=
65100 x 23
= $14.95
Amount that Xylia paid more for the 1st book than the 2nd book
= 20.40 - 14.95
= $5.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.70 |
1 u |
$47.10 |
(b)
Sale price of the 1st book = 1 u + 10.70
Sale price of the 2nd book = 1 u
Total amount that Tim paid
= 1 u + 10.70 + 1 u
= 2 u + 10.70
2 u + 10.70 = 47.10
2 u = 47.10 - 10.70
2 u = 36.40
1 u = 36.40 ÷ 2 = 18.20
Sale price of the 1st book
= 1 u + 10.70
= $28.90
85% of the price = $28.90
100% of the price =
28.9085 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $5.45; (b) $34