PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Eva and Carl each bought two books at the sale.
- Eva's books were priced at $5 and $13. How much less did she pay for the 2nd book than the 1st book?
- Carl paid a total of $46.30 for his two books. He paid $3.10 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% $13 |
100% $5 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 13
=
95100 x 13
= $12.35
Selling price of 2nd book
= 90% x 5
=
90100 x 5
= $4.50
Amount that Eva paid less for the 2nd book than the 1st book
= 12.35 - 4.50
= $7.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $3.10 |
1 u |
$46.30 |
(b)
Sale price of the 1st book = 1 u + 3.10
Sale price of the 2nd book = 1 u
Total amount that Carl paid
= 1 u + 3.10 + 1 u
= 2 u + 3.10
2 u + 3.10 = 46.30
2 u = 46.30 - 3.10
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Sale price of the 1st book
= 1 u + 3.10
= $24.70
95% of the price = $24.70
100% of the price =
24.7095 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $7.85; (b) $26