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.
Marion and Archie each bought two books at the sale.
- Marion's books were priced at $36 and $39. How much did she pay for them?
- Archie paid a total of $59.50 for his two books. He paid $12.70 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% $36 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 39
=
95100 x 39
= $37.05
Selling price of 2nd book
= 65% x 36
=
65100 x 36
= $23.40
Total amount that Marion paid
= 37.05 + 23.40
= $60.45
|
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 + $12.70 |
1 u |
$59.50 |
(b)
Sale price of the 1st book = 1 u + 12.70
Sale price of the 2nd book = 1 u
Total amount that Archie paid
= 1 u + 12.70 + 1 u
= 2 u + 12.70
2 u + 12.70 = 59.50
2 u = 59.50 - 12.70
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Sale price of the 2nd book = $23.40
65% of the price = $23.40
100% of the price =
23.4065 x 100 = $36
Selling price of the 2nd book before discount = $36
Answer(s): (a) $60.45; (b) $36