PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% 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.
Anna and Albert each bought two books at the sale.
- Anna's books were priced at $28 and $34. How much did she pay for them?
- Albert paid a total of $45.80 for his two books. He paid $13.60 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% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 34
=
90100 x 34
= $30.60
Selling price of 2nd book
= 70% x 28
=
70100 x 28
= $19.60
Total amount that Anna paid
= 30.60 + 19.60
= $50.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $13.60 |
1 u |
$45.80 |
(b)
Sale price of the 1st book = 1 u + 13.60
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 13.60 + 1 u
= 2 u + 13.60
2 u + 13.60 = 45.80
2 u = 45.80 - 13.60
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Sale price of the 2nd book = $16.10
70% of the price = $16.10
100% of the price =
16.1070 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $50.20; (b) $23