PSLE A stationery kiosk 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.
Jane and Jack each bought two books at the sale.
- Jane's books were priced at $3 and $12. How much did she pay for them?
- Jack paid a total of $57.25 for his two books. He paid $13.05 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% $12 |
100% $3 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 65% x 3
=
65100 x 3
= $1.95
Total amount that Jane paid
= 11.40 + 1.95
= $13.35
|
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 + $13.05 |
1 u |
$57.25 |
(b)
Sale price of the 1st book = 1 u + 13.05
Sale price of the 2nd book = 1 u
Total amount that Jack paid
= 1 u + 13.05 + 1 u
= 2 u + 13.05
2 u + 13.05 = 57.25
2 u = 57.25 - 13.05
2 u = 44.20
1 u = 44.20 ÷ 2 = 22.10
Sale price of the 2nd book = $22.10
65% of the price = $22.10
100% of the price =
22.1065 x 100 = $34
Selling price of the 2nd book before discount = $34
Answer(s): (a) $13.35; (b) $34