PSLE A book shop is having a book sale.
The 1st book is at 5% 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.
Mary and Wesley each bought two books at the sale.
- Mary's books were priced at $10 and $11. How much did she pay for them?
- Wesley paid a total of $32.90 for his two books. He paid $10.80 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% $11 |
100% $10 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 11
=
95100 x 11
= $10.45
Selling price of 2nd book
= 65% x 10
=
65100 x 10
= $6.50
Total amount that Mary paid
= 10.45 + 6.50
= $16.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.80 |
1 u |
$32.90 |
(b)
Sale price of the 1st book = 1 u + 10.80
Sale price of the 2nd book = 1 u
Total amount that Wesley paid
= 1 u + 10.80 + 1 u
= 2 u + 10.80
2 u + 10.80 = 32.90
2 u = 32.90 - 10.80
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 2nd book = $11.05
65% of the price = $11.05
100% of the price =
11.0565 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $16.95; (b) $17