PSLE A bookstore is having a book sale.
The 1st book is at 20% 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.
Usha and Peter each bought two books at the sale.
- Usha's books were priced at $24 and $31. How much did she pay for them?
- Peter paid a total of $38.65 for his two books. He paid $6.15 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% $31 |
100% $24 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 31
=
80100 x 31
= $24.80
Selling price of 2nd book
= 65% x 24
=
65100 x 24
= $15.60
Total amount that Usha paid
= 24.80 + 15.60
= $40.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.15 |
1 u |
$38.65 |
(b)
Sale price of the 1st book = 1 u + 6.15
Sale price of the 2nd book = 1 u
Total amount that Peter paid
= 1 u + 6.15 + 1 u
= 2 u + 6.15
2 u + 6.15 = 38.65
2 u = 38.65 - 6.15
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) $40.40; (b) $25