PSLE A shop 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.
Vanessa and Rael each bought two books at the sale.
- Vanessa's books were priced at $3 and $18. How much more did she pay for the 1st book than the 2nd book?
- Rael paid a total of $42.10 for his two books. He paid $4.40 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $18 |
100% $3 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 18
=
75100 x 18
= $13.50
Selling price of 2nd book
= 65% x 3
=
65100 x 3
= $1.95
Amount that Vanessa paid more for the 1st book than the 2nd book
= 13.50 - 1.95
= $11.55
|
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 + $4.40 |
1 u |
$42.10 |
(b)
Sale price of the 1st book = 1 u + 4.40
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 4.40 + 1 u
= 2 u + 4.40
2 u + 4.40 = 42.10
2 u = 42.10 - 4.40
2 u = 37.70
1 u = 37.70 ÷ 2 = 18.85
Sale price of the 1st book
= 1 u + 4.40
= $23.25
75% of the price = $23.25
100% of the price =
23.2575 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $11.55; (b) $31