PSLE A bookstore is having a book sale.
The 1st book is at 10% 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.
Usha and Sam each bought two books at the sale.
- Usha's books were priced at $32 and $39. How much did she pay for them?
- Sam paid a total of $32.70 for his two books. He paid $12.30 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% $32 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 39
=
90100 x 39
= $35.10
Selling price of 2nd book
= 60% x 32
=
60100 x 32
= $19.20
Total amount that Usha paid
= 35.10 + 19.20
= $54.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $12.30 |
1 u |
$32.70 |
(b)
Sale price of the 1st book = 1 u + 12.30
Sale price of the 2nd book = 1 u
Total amount that Sam paid
= 1 u + 12.30 + 1 u
= 2 u + 12.30
2 u + 12.30 = 32.70
2 u = 32.70 - 12.30
2 u = 20.40
1 u = 20.40 ÷ 2 = 10.20
Sale price of the 2nd book = $10.20
60% of the price = $10.20
100% of the price =
10.2060 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $54.30; (b) $17