PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% 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.
Gwen and Ian each bought two books at the sale.
- Gwen's books were priced at $38 and $39. How much did she pay for them?
- Ian paid a total of $28.85 for his two books. He paid $6.35 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% $39 |
100% $38 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 39
=
80100 x 39
= $31.20
Selling price of 2nd book
= 75% x 38
=
75100 x 38
= $28.50
Total amount that Gwen paid
= 31.20 + 28.50
= $59.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $6.35 |
1 u |
$28.85 |
(b)
Sale price of the 1st book = 1 u + 6.35
Sale price of the 2nd book = 1 u
Total amount that Ian paid
= 1 u + 6.35 + 1 u
= 2 u + 6.35
2 u + 6.35 = 28.85
2 u = 28.85 - 6.35
2 u = 22.50
1 u = 22.50 ÷ 2 = 11.25
Sale price of the 2nd book = $11.25
75% of the price = $11.25
100% of the price =
11.2575 x 100 = $15
Selling price of the 2nd book before discount = $15
Answer(s): (a) $59.70; (b) $15