PSLE A stationery kiosk is having a book sale.
The 1st book is at 25% 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.
Cindy and Gabriel each bought two books at the sale.
- Cindy's books were priced at $21 and $25. How much less did she pay for the 2nd book than the 1st book?
- Gabriel paid a total of $26.35 for his two books. He paid $8.15 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% $25 |
100% $21 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 25
=
75100 x 25
= $18.75
Selling price of 2nd book
= 65% x 21
=
65100 x 21
= $13.65
Amount that Cindy paid less for the 2nd book than the 1st book
= 18.75 - 13.65
= $5.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.15 |
1 u |
$26.35 |
(b)
Sale price of the 1st book = 1 u + 8.15
Sale price of the 2nd book = 1 u
Total amount that Gabriel paid
= 1 u + 8.15 + 1 u
= 2 u + 8.15
2 u + 8.15 = 26.35
2 u = 26.35 - 8.15
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 1st book
= 1 u + 8.15
= $17.25
75% of the price = $17.25
100% of the price =
17.2575 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $5.10; (b) $23