PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Nora and Tommy each bought two books at the sale.
- Nora's books were priced at $2 and $11. How much did she pay for them?
- Tommy paid a total of $43.60 for his two books. He paid $5.80 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $11 |
100% $2 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 11
=
95100 x 11
= $10.45
Selling price of 2nd book
= 90% x 2
=
90100 x 2
= $1.80
Total amount that Nora paid
= 10.45 + 1.80
= $12.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $5.80 |
1 u |
$43.60 |
(b)
Sale price of the 1st book = 1 u + 5.80
Sale price of the 2nd book = 1 u
Total amount that Tommy paid
= 1 u + 5.80 + 1 u
= 2 u + 5.80
2 u + 5.80 = 43.60
2 u = 43.60 - 5.80
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 2nd book = $18.90
90% of the price = $18.90
100% of the price =
18.9090 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $12.25; (b) $21