PSLE A store is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Kylie and Nick each bought two books at the sale.
- Kylie's books were priced at $13 and $27. How much did she pay for them?
- Nick paid a total of $37.35 for his two books. He paid $5.85 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% $27 |
100% $13 |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90% |
75% |
? |
(a)
Selling price of the 1st book
= 90% x 27
=
90100 x 27
= $24.30
Selling price of 2nd book
= 75% x 13
=
75100 x 13
= $9.75
Total amount that Kylie paid
= 24.30 + 9.75
= $34.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $5.85 |
1 u |
$37.35 |
(b)
Sale price of the 1st book = 1 u + 5.85
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 5.85 + 1 u
= 2 u + 5.85
2 u + 5.85 = 37.35
2 u = 37.35 - 5.85
2 u = 31.50
1 u = 31.50 ÷ 2 = 15.75
Sale price of the 2nd book = $15.75
75% of the price = $15.75
100% of the price =
15.7575 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $34.05; (b) $21