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.
Marion and Ben each bought two books at the sale.
- Marion's books were priced at $2 and $10. How much less did she pay for the 2nd book than the 1st book?
- Ben paid a total of $41.10 for his two books. He paid $9.90 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% $10 |
100% $2 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 10
=
85100 x 10
= $8.50
Selling price of 2nd book
= 65% x 2
=
65100 x 2
= $1.30
Amount that Marion paid less for the 2nd book than the 1st book
= 8.50 - 1.30
= $7.20
|
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 + $9.90 |
1 u |
$41.10 |
(b)
Sale price of the 1st book = 1 u + 9.90
Sale price of the 2nd book = 1 u
Total amount that Ben paid
= 1 u + 9.90 + 1 u
= 2 u + 9.90
2 u + 9.90 = 41.10
2 u = 41.10 - 9.90
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 1st book
= 1 u + 9.90
= $25.50
85% of the price = $25.50
100% of the price =
25.5085 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $7.20; (b) $30