PSLE A shop is having a book sale.
The 1st book is at 10% 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.
Jen and Riordan each bought two books at the sale.
- Jen's books were priced at $13 and $17. How much did she pay for them?
- Riordan paid a total of $41.70 for his two books. He paid $10.50 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $17 |
100% $13 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 17
=
90100 x 17
= $15.30
Selling price of 2nd book
= 60% x 13
=
60100 x 13
= $7.80
Total amount that Jen paid
= 15.30 + 7.80
= $23.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $10.50 |
1 u |
$41.70 |
(b)
Sale price of the 1st book = 1 u + 10.50
Sale price of the 2nd book = 1 u
Total amount that Riordan paid
= 1 u + 10.50 + 1 u
= 2 u + 10.50
2 u + 10.50 = 41.70
2 u = 41.70 - 10.50
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 2nd book = $15.60
60% of the price = $15.60
100% of the price =
15.6060 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $23.10; (b) $26