PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Min and Luke each bought two books at the sale.
- Min's books were priced at $22 and $34. How much less did she pay for the 2nd book than the 1st book?
- Luke paid a total of $64.90 for his two books. He paid $5.40 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $34 |
100% $22 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 34
=
95100 x 34
= $32.30
Selling price of 2nd book
= 85% x 22
=
85100 x 22
= $18.70
Amount that Min paid less for the 2nd book than the 1st book
= 32.30 - 18.70
= $13.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $5.40 |
1 u |
$64.90 |
(b)
Sale price of the 1st book = 1 u + 5.40
Sale price of the 2nd book = 1 u
Total amount that Luke paid
= 1 u + 5.40 + 1 u
= 2 u + 5.40
2 u + 5.40 = 64.90
2 u = 64.90 - 5.40
2 u = 59.50
1 u = 59.50 ÷ 2 = 29.75
Sale price of the 1st book
= 1 u + 5.40
= $35.15
95% of the price = $35.15
100% of the price =
35.1595 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $13.60; (b) $37