PSLE A shop 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.
Opal and Bryan each bought two books at the sale.
- Opal's books were priced at $18 and $33. How much did she pay for them?
- Bryan paid a total of $51.35 for his two books. He paid $7.85 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% $33 |
100% $18 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 33
=
80100 x 33
= $26.40
Selling price of 2nd book
= 75% x 18
=
75100 x 18
= $13.50
Total amount that Opal paid
= 26.40 + 13.50
= $39.90
|
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 + $7.85 |
1 u |
$51.35 |
(b)
Sale price of the 1st book = 1 u + 7.85
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 7.85 + 1 u
= 2 u + 7.85
2 u + 7.85 = 51.35
2 u = 51.35 - 7.85
2 u = 43.50
1 u = 43.50 ÷ 2 = 21.75
Sale price of the 2nd book = $21.75
75% of the price = $21.75
100% of the price =
21.7575 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $39.90; (b) $29