PSLE A store 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.
Mary and Fred each bought two books at the sale.
- Mary's books were priced at $3 and $13. How much did she pay for them?
- Fred paid a total of $42.85 for his two books. He paid $10.35 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% $13 |
100% $3 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 13
=
95100 x 13
= $12.35
Selling price of 2nd book
= 65% x 3
=
65100 x 3
= $1.95
Total amount that Mary paid
= 12.35 + 1.95
= $14.30
|
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 + $10.35 |
1 u |
$42.85 |
(b)
Sale price of the 1st book = 1 u + 10.35
Sale price of the 2nd book = 1 u
Total amount that Fred paid
= 1 u + 10.35 + 1 u
= 2 u + 10.35
2 u + 10.35 = 42.85
2 u = 42.85 - 10.35
2 u = 32.50
1 u = 32.50 ÷ 2 = 16.25
Sale price of the 2nd book = $16.25
65% of the price = $16.25
100% of the price =
16.2565 x 100 = $25
Selling price of the 2nd book before discount = $25
Answer(s): (a) $14.30; (b) $25