PSLE A book shop is having a book sale. The 1st book is at 25% discount. The 2nd book is at 35% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Jane's books were priced at $5 and $14. How much did she pay for them?
- Andy paid a total of $36.70 for his two books. He paid $6.80 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% $14 |
100% $5 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 14
=
75100 x 14
= $10.50
Selling price of 2nd book
= 65% x 5
=
65100 x 5
= $3.25
Total amount that Jane paid
= 10.50 + 3.25
= $13.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.80 |
1 u |
$36.70 |
(b)
Sale price of the 1st book = 1 u + 6.80
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 6.80 + 1 u
= 2 u + 6.80
2 u + 6.80 = 36.70
2 u = 36.70 - 6.80
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 2nd book = $14.95
65% of the price = $14.95
100% of the price =
14.9565 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $13.75; (b) $23