PSLE A stationery kiosk is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jaslyn and Mark each bought two books at the sale.
- Jaslyn's books were priced at $23 and $30. How much less did she pay for the 2nd book than the 1st book?
- Mark paid a total of $34.65 for his two books. He paid $6.15 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% $30 |
100% $23 |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85% |
75% |
? |
(a)
Selling price of the 1st book
= 85% x 30
=
85100 x 30
= $25.50
Selling price of 2nd book
= 75% x 23
=
75100 x 23
= $17.25
Amount that Jaslyn paid less for the 2nd book than the 1st book
= 25.50 - 17.25
= $8.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $6.15 |
1 u |
$34.65 |
(b)
Sale price of the 1st book = 1 u + 6.15
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 6.15 + 1 u
= 2 u + 6.15
2 u + 6.15 = 34.65
2 u = 34.65 - 6.15
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 1st book
= 1 u + 6.15
= $20.40
85% of the price = $20.40
100% of the price =
20.4085 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $8.25; (b) $24