PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Zara and Henry each bought two books at the sale.
- Zara's books were priced at $10 and $18. How much did she pay for them?
- Henry paid a total of $30.30 for his two books. He paid $13.40 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% $18 |
100% $10 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 18
=
95100 x 18
= $17.10
Selling price of 2nd book
= 65% x 10
=
65100 x 10
= $6.50
Total amount that Zara paid
= 17.10 + 6.50
= $23.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $13.40 |
1 u |
$30.30 |
(b)
Sale price of the 1st book = 1 u + 13.40
Sale price of the 2nd book = 1 u
Total amount that Henry paid
= 1 u + 13.40 + 1 u
= 2 u + 13.40
2 u + 13.40 = 30.30
2 u = 30.30 - 13.40
2 u = 16.90
1 u = 16.90 ÷ 2 = 8.45
Sale price of the 2nd book = $8.45
65% of the price = $8.45
100% of the price =
8.4565 x 100 = $13
Selling price of the 2nd book before discount = $13
Answer(s): (a) $23.60; (b) $13