PSLE A stationery shop 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.
Opal and Reggie each bought two books at the sale.
- Opal's books were priced at $25 and $36. How much less did she pay for the 2nd book than the 1st book?
- Reggie paid a total of $60.90 for his two books. He paid $5.40 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% $36 |
100% $25 |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85% |
75% |
? |
(a)
Selling price of the 1st book
= 85% x 36
=
85100 x 36
= $30.60
Selling price of 2nd book
= 75% x 25
=
75100 x 25
= $18.75
Amount that Opal paid less for the 2nd book than the 1st book
= 30.60 - 18.75
= $11.85
|
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 + $5.40 |
1 u |
$60.90 |
(b)
Sale price of the 1st book = 1 u + 5.40
Sale price of the 2nd book = 1 u
Total amount that Reggie paid
= 1 u + 5.40 + 1 u
= 2 u + 5.40
2 u + 5.40 = 60.90
2 u = 60.90 - 5.40
2 u = 55.50
1 u = 55.50 ÷ 2 = 27.75
Sale price of the 1st book
= 1 u + 5.40
= $33.15
85% of the price = $33.15
100% of the price =
33.1585 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $11.85; (b) $39