PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Vanessa and Fabian each bought two books at the sale.
- Vanessa's books were priced at $25 and $34. How much did she pay for them?
- Fabian paid a total of $53.75 for his two books. He paid $5.15 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% $34 |
100% $25 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 34
=
95100 x 34
= $32.30
Selling price of 2nd book
= 90% x 25
=
90100 x 25
= $22.50
Total amount that Vanessa paid
= 32.30 + 22.50
= $54.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $5.15 |
1 u |
$53.75 |
(b)
Sale price of the 1st book = 1 u + 5.15
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 5.15 + 1 u
= 2 u + 5.15
2 u + 5.15 = 53.75
2 u = 53.75 - 5.15
2 u = 48.60
1 u = 48.60 ÷ 2 = 24.30
Sale price of the 2nd book = $24.30
90% of the price = $24.30
100% of the price =
24.3090 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $54.80; (b) $27