PSLE A bookstore 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.
Jane and George each bought two books at the sale.
- Jane's books were priced at $11 and $26. How much more did she pay for the 1st book than the 2nd book?
- George paid a total of $41.45 for his two books. He paid $7.85 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $26 |
100% $11 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 26
=
85100 x 26
= $22.10
Selling price of 2nd book
= 80% x 11
=
80100 x 11
= $8.80
Amount that Jane paid more for the 1st book than the 2nd book
= 22.10 - 8.80
= $13.30
|
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 + $7.85 |
1 u |
$41.45 |
(b)
Sale price of the 1st book = 1 u + 7.85
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 7.85 + 1 u
= 2 u + 7.85
2 u + 7.85 = 41.45
2 u = 41.45 - 7.85
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 1st book
= 1 u + 7.85
= $24.65
85% of the price = $24.65
100% of the price =
24.6585 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $13.30; (b) $29