PSLE A store 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.
Tammy and Nick each bought two books at the sale.
- Tammy's books were priced at $22 and $24. How much less did she pay for the 2nd book than the 1st book?
- Nick paid a total of $42.55 for his two books. He paid $6.85 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% $24 |
100% $22 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 85% x 22
=
85100 x 22
= $18.70
Amount that Tammy paid less for the 2nd book than the 1st book
= 22.80 - 18.70
= $4.10
|
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 + $6.85 |
1 u |
$42.55 |
(b)
Sale price of the 1st book = 1 u + 6.85
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 6.85 + 1 u
= 2 u + 6.85
2 u + 6.85 = 42.55
2 u = 42.55 - 6.85
2 u = 35.70
1 u = 35.70 ÷ 2 = 17.85
Sale price of the 1st book
= 1 u + 6.85
= $24.70
95% of the price = $24.70
100% of the price =
24.7095 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $4.10; (b) $26