PSLE A stationery shop is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Emma and Jeremy each bought two books at the sale.
- Emma's books were priced at $26 and $27. How much did she pay for them?
- Jeremy paid a total of $32.85 for his two books. He paid $7.65 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% $27 |
100% $26 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 27
=
75100 x 27
= $20.25
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Total amount that Emma paid
= 20.25 + 18.20
= $38.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.65 |
1 u |
$32.85 |
(b)
Sale price of the 1st book = 1 u + 7.65
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 7.65 + 1 u
= 2 u + 7.65
2 u + 7.65 = 32.85
2 u = 32.85 - 7.65
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 2nd book = $12.60
70% of the price = $12.60
100% of the price =
12.6070 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $38.45; (b) $18