PSLE A bookstore is having a book sale.
The 1st book is at 10% 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.
Kathy and Howard each bought two books at the sale.
- Kathy's books were priced at $16 and $18. How much did she pay for them?
- Howard paid a total of $43.30 for his two books. He paid $12.50 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% $18 |
100% $16 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 18
=
90100 x 18
= $16.20
Selling price of 2nd book
= 70% x 16
=
70100 x 16
= $11.20
Total amount that Kathy paid
= 16.20 + 11.20
= $27.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $12.50 |
1 u |
$43.30 |
(b)
Sale price of the 1st book = 1 u + 12.50
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 12.50 + 1 u
= 2 u + 12.50
2 u + 12.50 = 43.30
2 u = 43.30 - 12.50
2 u = 30.80
1 u = 30.80 ÷ 2 = 15.40
Sale price of the 2nd book = $15.40
70% of the price = $15.40
100% of the price =
15.4070 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $27.40; (b) $22