PSLE A shop is having a book sale.
The 1st book is at 25% 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.
Sabrina and Albert each bought two books at the sale.
- Sabrina's books were priced at $6 and $18. How much did she pay for them?
- Albert paid a total of $52.65 for his two books. He paid $5.85 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% $18 |
100% $6 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 18
=
75100 x 18
= $13.50
Selling price of 2nd book
= 65% x 6
=
65100 x 6
= $3.90
Total amount that Sabrina paid
= 13.50 + 3.90
= $17.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $5.85 |
1 u |
$52.65 |
(b)
Sale price of the 1st book = 1 u + 5.85
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 5.85 + 1 u
= 2 u + 5.85
2 u + 5.85 = 52.65
2 u = 52.65 - 5.85
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Sale price of the 2nd book = $23.40
65% of the price = $23.40
100% of the price =
23.4065 x 100 = $36
Selling price of the 2nd book before discount = $36
Answer(s): (a) $17.40; (b) $36