PSLE A store is having a book sale. The 1st book is at 10% 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.
- Hilda's books were priced at $9 and $22. How much did she pay for them?
- Fabian paid a total of $31.25 for his two books. He paid $6.55 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% $22 |
100% $9 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 22
=
90100 x 22
= $19.80
Selling price of 2nd book
= 65% x 9
=
65100 x 9
= $5.85
Total amount that Hilda paid
= 19.80 + 5.85
= $25.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.55 |
1 u |
$31.25 |
(b)
Sale price of the 1st book = 1 u + 6.55
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 6.55 + 1 u
= 2 u + 6.55
2 u + 6.55 = 31.25
2 u = 31.25 - 6.55
2 u = 24.70
1 u = 24.70 ÷ 2 = 12.35
Sale price of the 2nd book = $12.35
65% of the price = $12.35
100% of the price =
12.3565 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $25.65; (b) $19