PSLE A store is having a book sale.
The 1st book is at 15% 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.
Yoko and George each bought two books at the sale.
- Yoko's books were priced at $14 and $17. How much did she pay for them?
- George paid a total of $35.70 for his two books. He paid $10.20 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% $17 |
100% $14 |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85% |
75% |
? |
(a)
Selling price of the 1st book
= 85% x 17
=
85100 x 17
= $14.45
Selling price of 2nd book
= 75% x 14
=
75100 x 14
= $10.50
Total amount that Yoko paid
= 14.45 + 10.50
= $24.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 25% |
|
Sale price |
85%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $10.20 |
1 u |
$35.70 |
(b)
Sale price of the 1st book = 1 u + 10.20
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 10.20 + 1 u
= 2 u + 10.20
2 u + 10.20 = 35.70
2 u = 35.70 - 10.20
2 u = 25.50
1 u = 25.50 ÷ 2 = 12.75
Sale price of the 2nd book = $12.75
75% of the price = $12.75
100% of the price =
12.7575 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $24.95; (b) $17