PSLE A stationery shop is having a book sale.
The 1st book is at 5% 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.
Sarah and Sean each bought two books at the sale.
- Sarah's books were priced at $38 and $38. How much did she pay for them?
- Sean paid a total of $55.95 for his two books. He paid $14.35 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% $38 |
100% $38 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 65% x 38
=
65100 x 38
= $24.70
Total amount that Sarah paid
= 36.10 + 24.70
= $60.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $14.35 |
1 u |
$55.95 |
(b)
Sale price of the 1st book = 1 u + 14.35
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 14.35 + 1 u
= 2 u + 14.35
2 u + 14.35 = 55.95
2 u = 55.95 - 14.35
2 u = 41.60
1 u = 41.60 ÷ 2 = 20.80
Sale price of the 2nd book = $20.80
65% of the price = $20.80
100% of the price =
20.8065 x 100 = $32
Selling price of the 2nd book before discount = $32
Answer(s): (a) $60.80; (b) $32