PSLE A store is having a book sale.
The 1st book is at 15% 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.
Mary and Paul each bought two books at the sale.
- Mary's books were priced at $25 and $39. How much did she pay for them?
- Paul paid a total of $35.50 for his two books. He paid $12.10 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% $39 |
100% $25 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 39
=
85100 x 39
= $33.15
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Total amount that Mary paid
= 33.15 + 16.25
= $49.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $12.10 |
1 u |
$35.50 |
(b)
Sale price of the 1st book = 1 u + 12.10
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 12.10 + 1 u
= 2 u + 12.10
2 u + 12.10 = 35.50
2 u = 35.50 - 12.10
2 u = 23.40
1 u = 23.40 ÷ 2 = 11.70
Sale price of the 2nd book = $11.70
65% of the price = $11.70
100% of the price =
11.7065 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $49.40; (b) $18