PSLE A book shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jen and Jenson each bought two books at the sale.
- Jen's books were priced at $22 and $33. How much did she pay for them?
- Jenson paid a total of $38.85 for his two books. He paid $3.65 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% $33 |
100% $22 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 33
=
85100 x 33
= $28.05
Selling price of 2nd book
= 80% x 22
=
80100 x 22
= $17.60
Total amount that Jen paid
= 28.05 + 17.60
= $45.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $3.65 |
1 u |
$38.85 |
(b)
Sale price of the 1st book = 1 u + 3.65
Sale price of the 2nd book = 1 u
Total amount that Jenson paid
= 1 u + 3.65 + 1 u
= 2 u + 3.65
2 u + 3.65 = 38.85
2 u = 38.85 - 3.65
2 u = 35.20
1 u = 35.20 ÷ 2 = 17.60
Sale price of the 2nd book = $17.60
80% of the price = $17.60
100% of the price =
17.6080 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $45.65; (b) $22