PSLE A bookstore 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.
Vanessa and Julian each bought two books at the sale.
- Vanessa's books were priced at $36 and $38. How much less did she pay for the 2nd book than the 1st book?
- Julian paid a total of $47.35 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% $38 |
100% $36 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 38
=
75100 x 38
= $28.50
Selling price of 2nd book
= 70% x 36
=
70100 x 36
= $25.20
Amount that Vanessa paid less for the 2nd book than the 1st book
= 28.50 - 25.20
= $3.30
|
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 + $8.15 |
1 u |
$47.35 |
(b)
Sale price of the 1st book = 1 u + 8.15
Sale price of the 2nd book = 1 u
Total amount that Julian paid
= 1 u + 8.15 + 1 u
= 2 u + 8.15
2 u + 8.15 = 47.35
2 u = 47.35 - 8.15
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 1st book
= 1 u + 8.15
= $27.75
75% of the price = $27.75
100% of the price =
27.7575 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $3.30; (b) $37