PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Kathy and Andy each bought two books at the sale.
- Kathy's books were priced at $35 and $36. How much less did she pay for the 2nd book than the 1st book?
- Andy paid a total of $33.55 for his two books. He paid $6.35 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $36 |
100% $35 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 36
=
95100 x 36
= $34.20
Selling price of 2nd book
= 85% x 35
=
85100 x 35
= $29.75
Amount that Kathy paid less for the 2nd book than the 1st book
= 34.20 - 29.75
= $4.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.35 |
1 u |
$33.55 |
(b)
Sale price of the 1st book = 1 u + 6.35
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 6.35 + 1 u
= 2 u + 6.35
2 u + 6.35 = 33.55
2 u = 33.55 - 6.35
2 u = 27.20
1 u = 27.20 ÷ 2 = 13.60
Sale price of the 1st book
= 1 u + 6.35
= $19.95
95% of the price = $19.95
100% of the price =
19.9595 x 100 = $21
Selling price of the 1st book before discount = $21
Answer(s): (a) $4.45; (b) $21