PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Natalie and Dylan each bought two books at the sale.
- Natalie's books were priced at $27 and $36. How much did she pay for them?
- Dylan paid a total of $30.10 for his two books. He paid $3.50 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $36 |
100% $27 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 36
=
80100 x 36
= $28.80
Selling price of 2nd book
= 70% x 27
=
70100 x 27
= $18.90
Total amount that Natalie paid
= 28.80 + 18.90
= $47.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $3.50 |
1 u |
$30.10 |
(b)
Sale price of the 1st book = 1 u + 3.50
Sale price of the 2nd book = 1 u
Total amount that Dylan paid
= 1 u + 3.50 + 1 u
= 2 u + 3.50
2 u + 3.50 = 30.10
2 u = 30.10 - 3.50
2 u = 26.60
1 u = 26.60 ÷ 2 = 13.30
Sale price of the 2nd book = $13.30
70% of the price = $13.30
100% of the price =
13.3070 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $47.70; (b) $19