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.
Tammy and Sam each bought two books at the sale.
- Tammy's books were priced at $14 and $15. How much did she pay for them?
- Sam paid a total of $52.15 for his two books. He paid $5.65 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $15 |
100% $14 |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85% |
75% |
? |
(a)
Selling price of the 1st book
= 85% x 15
=
85100 x 15
= $12.75
Selling price of 2nd book
= 75% x 14
=
75100 x 14
= $10.50
Total amount that Tammy paid
= 12.75 + 10.50
= $23.25
|
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 + $5.65 |
1 u |
$52.15 |
(b)
Sale price of the 1st book = 1 u + 5.65
Sale price of the 2nd book = 1 u
Total amount that Sam paid
= 1 u + 5.65 + 1 u
= 2 u + 5.65
2 u + 5.65 = 52.15
2 u = 52.15 - 5.65
2 u = 46.50
1 u = 46.50 ÷ 2 = 23.25
Sale price of the 2nd book = $23.25
75% of the price = $23.25
100% of the price =
23.2575 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $23.25; (b) $31