PSLE A bookstore is having a book sale.
The 1st book is at 20% 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.
Sabrina and Japheth each bought two books at the sale.
- Sabrina's books were priced at $21 and $31. How much did she pay for them?
- Japheth paid a total of $43.65 for his two books. He paid $9.15 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% $31 |
100% $21 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 31
=
80100 x 31
= $24.80
Selling price of 2nd book
= 75% x 21
=
75100 x 21
= $15.75
Total amount that Sabrina paid
= 24.80 + 15.75
= $40.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $9.15 |
1 u |
$43.65 |
(b)
Sale price of the 1st book = 1 u + 9.15
Sale price of the 2nd book = 1 u
Total amount that Japheth paid
= 1 u + 9.15 + 1 u
= 2 u + 9.15
2 u + 9.15 = 43.65
2 u = 43.65 - 9.15
2 u = 34.50
1 u = 34.50 ÷ 2 = 17.25
Sale price of the 2nd book = $17.25
75% of the price = $17.25
100% of the price =
17.2575 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $40.55; (b) $23