PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Sarah and Seth each bought two books at the sale.
- Sarah's books were priced at $25 and $26. How much less did she pay for the 2nd book than the 1st book?
- Seth paid a total of $55.95 for his two books. He paid $12.45 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $26 |
100% $25 |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95% |
75% |
? |
(a)
Selling price of the 1st book
= 95% x 26
=
95100 x 26
= $24.70
Selling price of 2nd book
= 75% x 25
=
75100 x 25
= $18.75
Amount that Sarah paid less for the 2nd book than the 1st book
= 24.70 - 18.75
= $5.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 25% |
|
Sale price |
95%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $12.45 |
1 u |
$55.95 |
(b)
Sale price of the 1st book = 1 u + 12.45
Sale price of the 2nd book = 1 u
Total amount that Seth paid
= 1 u + 12.45 + 1 u
= 2 u + 12.45
2 u + 12.45 = 55.95
2 u = 55.95 - 12.45
2 u = 43.50
1 u = 43.50 ÷ 2 = 21.75
Sale price of the 1st book
= 1 u + 12.45
= $34.20
95% of the price = $34.20
100% of the price =
34.2095 x 100 = $36
Selling price of the 1st book before discount = $36
Answer(s): (a) $5.95; (b) $36