PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% 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 Ivan each bought two books at the sale.
- Jen's books were priced at $33 and $38. How much did she pay for them?
- Ivan paid a total of $55.65 for his two books. He paid $18.45 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% $38 |
100% $33 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 60% x 33
=
60100 x 33
= $19.80
Total amount that Jen paid
= 36.10 + 19.80
= $55.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $18.45 |
1 u |
$55.65 |
(b)
Sale price of the 1st book = 1 u + 18.45
Sale price of the 2nd book = 1 u
Total amount that Ivan paid
= 1 u + 18.45 + 1 u
= 2 u + 18.45
2 u + 18.45 = 55.65
2 u = 55.65 - 18.45
2 u = 37.20
1 u = 37.20 ÷ 2 = 18.60
Sale price of the 2nd book = $18.60
60% of the price = $18.60
100% of the price =
18.6060 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $55.90; (b) $31