PSLE A book shop is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jen and Bobby each bought two books at the sale.
- Jen's books were priced at $7 and $10. How much less did she pay for the 2nd book than the 1st book?
- Bobby paid a total of $42.30 for his two books. He paid $8.70 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $10 |
100% $7 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 10
=
75100 x 10
= $7.50
Selling price of 2nd book
= 70% x 7
=
70100 x 7
= $4.90
Amount that Jen paid less for the 2nd book than the 1st book
= 7.50 - 4.90
= $2.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.70 |
1 u |
$42.30 |
(b)
Sale price of the 1st book = 1 u + 8.70
Sale price of the 2nd book = 1 u
Total amount that Bobby paid
= 1 u + 8.70 + 1 u
= 2 u + 8.70
2 u + 8.70 = 42.30
2 u = 42.30 - 8.70
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 1st book
= 1 u + 8.70
= $25.50
75% of the price = $25.50
100% of the price =
25.5075 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $2.60; (b) $34