PSLE A book shop is having a book sale.
The 1st book is at 15% 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.
Julie and Oscar each bought two books at the sale.
- Julie's books were priced at $24 and $37. How much did she pay for them?
- Oscar paid a total of $40.75 for his two books. He paid $8.55 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% $37 |
100% $24 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 37
=
85100 x 37
= $31.45
Selling price of 2nd book
= 70% x 24
=
70100 x 24
= $16.80
Total amount that Julie paid
= 31.45 + 16.80
= $48.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.55 |
1 u |
$40.75 |
(b)
Sale price of the 1st book = 1 u + 8.55
Sale price of the 2nd book = 1 u
Total amount that Oscar paid
= 1 u + 8.55 + 1 u
= 2 u + 8.55
2 u + 8.55 = 40.75
2 u = 40.75 - 8.55
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) $48.25; (b) $23