PSLE A stationery kiosk 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.
Cathy and Valen each bought two books at the sale.
- Cathy's books were priced at $23 and $38. How much did she pay for them?
- Valen paid a total of $47.60 for his two books. He paid $15.10 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% $23 |
|
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 23
=
65100 x 23
= $14.95
Total amount that Cathy paid
= 36.10 + 14.95
= $51.05
|
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 + $15.10 |
1 u |
$47.60 |
(b)
Sale price of the 1st book = 1 u + 15.10
Sale price of the 2nd book = 1 u
Total amount that Valen paid
= 1 u + 15.10 + 1 u
= 2 u + 15.10
2 u + 15.10 = 47.60
2 u = 47.60 - 15.10
2 u = 32.50
1 u = 32.50 ÷ 2 = 16.25
Sale price of the 2nd book = $16.25
65% of the price = $16.25
100% of the price =
16.2565 x 100 = $25
Selling price of the 2nd book before discount = $25
Answer(s): (a) $51.05; (b) $25