PSLE A stationery kiosk 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.
Natalie and Archie each bought two books at the sale.
- Natalie's books were priced at $11 and $16. How much did she pay for them?
- Archie paid a total of $36.85 for his two books. He paid $4.55 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% $16 |
100% $11 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 16
=
90100 x 16
= $14.40
Selling price of 2nd book
= 85% x 11
=
85100 x 11
= $9.35
Total amount that Natalie paid
= 14.40 + 9.35
= $23.75
|
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 + $4.55 |
1 u |
$36.85 |
(b)
Sale price of the 1st book = 1 u + 4.55
Sale price of the 2nd book = 1 u
Total amount that Archie paid
= 1 u + 4.55 + 1 u
= 2 u + 4.55
2 u + 4.55 = 36.85
2 u = 36.85 - 4.55
2 u = 32.30
1 u = 32.30 ÷ 2 = 16.15
Sale price of the 2nd book = $16.15
85% of the price = $16.15
100% of the price =
16.1585 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $23.75; (b) $19