PSLE A stationery kiosk 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.
Emily and Rael each bought two books at the sale.
- Emily's books were priced at $2 and $10. How much did she pay for them?
- Rael paid a total of $45.30 for his two books. He paid $7.90 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% $10 |
100% $2 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 10
=
95100 x 10
= $9.50
Selling price of 2nd book
= 85% x 2
=
85100 x 2
= $1.70
Total amount that Emily paid
= 9.50 + 1.70
= $11.20
|
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 + $7.90 |
1 u |
$45.30 |
(b)
Sale price of the 1st book = 1 u + 7.90
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 7.90 + 1 u
= 2 u + 7.90
2 u + 7.90 = 45.30
2 u = 45.30 - 7.90
2 u = 37.40
1 u = 37.40 ÷ 2 = 18.70
Sale price of the 2nd book = $18.70
85% of the price = $18.70
100% of the price =
18.7085 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $11.20; (b) $22