PSLE A stationery kiosk 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.
Cindy and Carl each bought two books at the sale.
- Cindy's books were priced at $8 and $13. How much did she pay for them?
- Carl paid a total of $41.80 for his two books. He paid $7.60 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% $13 |
100% $8 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 13
=
95100 x 13
= $12.35
Selling price of 2nd book
= 90% x 8
=
90100 x 8
= $7.20
Total amount that Cindy paid
= 12.35 + 7.20
= $19.55
|
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 + $7.60 |
1 u |
$41.80 |
(b)
Sale price of the 1st book = 1 u + 7.60
Sale price of the 2nd book = 1 u
Total amount that Carl paid
= 1 u + 7.60 + 1 u
= 2 u + 7.60
2 u + 7.60 = 41.80
2 u = 41.80 - 7.60
2 u = 34.20
1 u = 34.20 ÷ 2 = 17.10
Sale price of the 2nd book = $17.10
90% of the price = $17.10
100% of the price =
17.1090 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $19.55; (b) $19