PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Esther and Liam each bought two books at the sale.
- Esther's books were priced at $22 and $33. How much did she pay for them?
- Liam paid a total of $41.25 for his two books. He paid $10.05 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% $33 |
100% $22 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 65% x 22
=
65100 x 22
= $14.30
Total amount that Esther paid
= 31.35 + 14.30
= $45.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.05 |
1 u |
$41.25 |
(b)
Sale price of the 1st book = 1 u + 10.05
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 10.05 + 1 u
= 2 u + 10.05
2 u + 10.05 = 41.25
2 u = 41.25 - 10.05
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 2nd book = $15.60
65% of the price = $15.60
100% of the price =
15.6065 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $45.65; (b) $24