PSLE A bookstore is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Risa and Rael each bought two books at the sale.
- Risa's books were priced at $26 and $31. How much did she pay for them?
- Rael paid a total of $28.40 for his two books. He paid $6.80 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $31 |
100% $26 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 31
=
80100 x 31
= $24.80
Selling price of 2nd book
= 60% x 26
=
60100 x 26
= $15.60
Total amount that Risa paid
= 24.80 + 15.60
= $40.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $6.80 |
1 u |
$28.40 |
(b)
Sale price of the 1st book = 1 u + 6.80
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 6.80 + 1 u
= 2 u + 6.80
2 u + 6.80 = 28.40
2 u = 28.40 - 6.80
2 u = 21.60
1 u = 21.60 ÷ 2 = 10.80
Sale price of the 2nd book = $10.80
60% of the price = $10.80
100% of the price =
10.8060 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $40.40; (b) $18