PSLE A stationery shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Dana and Nick each bought two books at the sale.
- Dana's books were priced at $27 and $35. How much did she pay for them?
- Nick paid a total of $51.75 for his two books. He paid $5.85 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% $35 |
100% $27 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 85% x 27
=
85100 x 27
= $22.95
Total amount that Dana paid
= 31.50 + 22.95
= $54.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $5.85 |
1 u |
$51.75 |
(b)
Sale price of the 1st book = 1 u + 5.85
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 5.85 + 1 u
= 2 u + 5.85
2 u + 5.85 = 51.75
2 u = 51.75 - 5.85
2 u = 45.90
1 u = 45.90 ÷ 2 = 22.95
Sale price of the 2nd book = $22.95
85% of the price = $22.95
100% of the price =
22.9585 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $54.45; (b) $27