PSLE A stationery kiosk is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Cindy and Perry each bought two books at the sale.
- Cindy's books were priced at $23 and $26. How much more did she pay for the 1st book than the 2nd book?
- Perry paid a total of $54.45 for his two books. He paid $4.05 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% $26 |
100% $23 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 26
=
75100 x 26
= $19.50
Selling price of 2nd book
= 70% x 23
=
70100 x 23
= $16.10
Amount that Cindy paid more for the 1st book than the 2nd book
= 19.50 - 16.10
= $3.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $4.05 |
1 u |
$54.45 |
(b)
Sale price of the 1st book = 1 u + 4.05
Sale price of the 2nd book = 1 u
Total amount that Perry paid
= 1 u + 4.05 + 1 u
= 2 u + 4.05
2 u + 4.05 = 54.45
2 u = 54.45 - 4.05
2 u = 50.40
1 u = 50.40 ÷ 2 = 25.20
Sale price of the 1st book
= 1 u + 4.05
= $29.25
75% of the price = $29.25
100% of the price =
29.2575 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $3.40; (b) $39