PSLE A stationery shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jane and Vincent each bought two books at the sale.
- Jane's books were priced at $13 and $13. How much more did she pay for the 1st book than the 2nd book?
- Vincent paid a total of $45.45 for his two books. He paid $10.65 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% $13 |
100% $13 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 13
=
85100 x 13
= $11.05
Selling price of 2nd book
= 60% x 13
=
60100 x 13
= $7.80
Amount that Jane paid more for the 1st book than the 2nd book
= 11.05 - 7.80
= $3.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $10.65 |
1 u |
$45.45 |
(b)
Sale price of the 1st book = 1 u + 10.65
Sale price of the 2nd book = 1 u
Total amount that Vincent paid
= 1 u + 10.65 + 1 u
= 2 u + 10.65
2 u + 10.65 = 45.45
2 u = 45.45 - 10.65
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Sale price of the 1st book
= 1 u + 10.65
= $28.05
85% of the price = $28.05
100% of the price =
28.0585 x 100 = $33
Selling price of the 1st book before discount = $33
Answer(s): (a) $3.25; (b) $33