PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xandra and Ivan each bought two books at the sale.
- Xandra's books were priced at $24 and $31. How much did she pay for them?
- Ivan paid a total of $36.60 for his two books. He paid $12.80 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% $31 |
100% $24 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 31
=
95100 x 31
= $29.45
Selling price of 2nd book
= 70% x 24
=
70100 x 24
= $16.80
Total amount that Xandra paid
= 29.45 + 16.80
= $46.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $12.80 |
1 u |
$36.60 |
(b)
Sale price of the 1st book = 1 u + 12.80
Sale price of the 2nd book = 1 u
Total amount that Ivan paid
= 1 u + 12.80 + 1 u
= 2 u + 12.80
2 u + 12.80 = 36.60
2 u = 36.60 - 12.80
2 u = 23.80
1 u = 23.80 ÷ 2 = 11.90
Sale price of the 2nd book = $11.90
70% of the price = $11.90
100% of the price =
11.9070 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $46.25; (b) $17