PSLE A stationery shop is having a book sale.
The 1st book is at 5% 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.
Zoe and Ryan each bought two books at the sale.
- Zoe's books were priced at $2 and $17. How much did she pay for them?
- Ryan paid a total of $37.15 for his two books. He paid $6.55 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% $17 |
100% $2 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 17
=
95100 x 17
= $16.15
Selling price of 2nd book
= 85% x 2
=
85100 x 2
= $1.70
Total amount that Zoe paid
= 16.15 + 1.70
= $17.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.55 |
1 u |
$37.15 |
(b)
Sale price of the 1st book = 1 u + 6.55
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 6.55 + 1 u
= 2 u + 6.55
2 u + 6.55 = 37.15
2 u = 37.15 - 6.55
2 u = 30.60
1 u = 30.60 ÷ 2 = 15.30
Sale price of the 2nd book = $15.30
85% of the price = $15.30
100% of the price =
15.3085 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $17.85; (b) $18