PSLE A store is having a book sale.
The 1st book is at 5% 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.
Jen and Carl each bought two books at the sale.
- Jen's books were priced at $23 and $23. How much did she pay for them?
- Carl paid a total of $57.35 for his two books. He paid $16.75 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% $23 |
100% $23 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 70% x 23
=
70100 x 23
= $16.10
Total amount that Jen paid
= 21.85 + 16.10
= $37.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $16.75 |
1 u |
$57.35 |
(b)
Sale price of the 1st book = 1 u + 16.75
Sale price of the 2nd book = 1 u
Total amount that Carl paid
= 1 u + 16.75 + 1 u
= 2 u + 16.75
2 u + 16.75 = 57.35
2 u = 57.35 - 16.75
2 u = 40.60
1 u = 40.60 ÷ 2 = 20.30
Sale price of the 2nd book = $20.30
70% of the price = $20.30
100% of the price =
20.3070 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $37.95; (b) $29