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.
Sarah and Asher each bought two books at the sale.
- Sarah's books were priced at $13 and $24. How much did she pay for them?
- Asher paid a total of $47.65 for his two books. He paid $11.25 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% $24 |
100% $13 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 70% x 13
=
70100 x 13
= $9.10
Total amount that Sarah paid
= 22.80 + 9.10
= $31.90
|
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 + $11.25 |
1 u |
$47.65 |
(b)
Sale price of the 1st book = 1 u + 11.25
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 11.25 + 1 u
= 2 u + 11.25
2 u + 11.25 = 47.65
2 u = 47.65 - 11.25
2 u = 36.40
1 u = 36.40 ÷ 2 = 18.20
Sale price of the 2nd book = $18.20
70% of the price = $18.20
100% of the price =
18.2070 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $31.90; (b) $26