PSLE A stationery shop is having a book sale. The 1st book is at 10% discount. The 2nd book is at 15% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Tina's books were priced at $28 and $34. How much did she pay for them?
- Gabriel paid a total of $35.25 for his two books. He paid $9.75 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% $34 |
100% $28 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 34
=
90100 x 34
= $30.60
Selling price of 2nd book
= 85% x 28
=
85100 x 28
= $23.80
Total amount that Tina paid
= 30.60 + 23.80
= $54.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $9.75 |
1 u |
$35.25 |
(b)
Sale price of the 1st book = 1 u + 9.75
Sale price of the 2nd book = 1 u
Total amount that Gabriel paid
= 1 u + 9.75 + 1 u
= 2 u + 9.75
2 u + 9.75 = 35.25
2 u = 35.25 - 9.75
2 u = 25.50
1 u = 25.50 ÷ 2 = 12.75
Sale price of the 2nd book = $12.75
85% of the price = $12.75
100% of the price =
12.7585 x 100 = $15
Selling price of the 2nd book before discount = $15
Answer(s): (a) $54.40; (b) $15