PSLE A store is having a book sale.
The 1st book is at 15% 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.
Hazel and Bryan each bought two books at the sale.
- Hazel's books were priced at $4 and $15. How much less did she pay for the 2nd book than the 1st book?
- Bryan paid a total of $41.95 for his two books. He paid $10.75 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% $15 |
100% $4 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 15
=
85100 x 15
= $12.75
Selling price of 2nd book
= 65% x 4
=
65100 x 4
= $2.60
Amount that Hazel paid less for the 2nd book than the 1st book
= 12.75 - 2.60
= $10.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.75 |
1 u |
$41.95 |
(b)
Sale price of the 1st book = 1 u + 10.75
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 10.75 + 1 u
= 2 u + 10.75
2 u + 10.75 = 41.95
2 u = 41.95 - 10.75
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 1st book
= 1 u + 10.75
= $26.35
85% of the price = $26.35
100% of the price =
26.3585 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $10.15; (b) $31