PSLE A store is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Sarah and Simon each bought two books at the sale.
- Sarah's books were priced at $24 and $39. How much did she pay for them?
- Simon paid a total of $42.80 for his two books. He paid $7.60 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% $24 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 39
=
90100 x 39
= $35.10
Selling price of 2nd book
= 80% x 24
=
80100 x 24
= $19.20
Total amount that Sarah paid
= 35.10 + 19.20
= $54.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $7.60 |
1 u |
$42.80 |
(b)
Sale price of the 1st book = 1 u + 7.60
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 7.60 + 1 u
= 2 u + 7.60
2 u + 7.60 = 42.80
2 u = 42.80 - 7.60
2 u = 35.20
1 u = 35.20 ÷ 2 = 17.60
Sale price of the 2nd book = $17.60
80% of the price = $17.60
100% of the price =
17.6080 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $54.30; (b) $22