Ｆ.１　Ｍaｔhｓ

(1)(a) the marked price required:
=10000x(1+25%)
=12500
So, the marked price is $12500

(b)(i) the profit required:
12500x(1+10%)x(1-20%) - 10000
=1000
So, the profit is $1000

(ii) The percentage of profit required:
(1000/10000)x100%
=10%
So, the percentage of profit is 10%

1. a) $10000 times ( 1+25% )
= $12500
The marked price is $12500.
b) $12500 - $12500 times ( 1+10% ) times ( 1-20% )
= $ 1500
The profit is $1500.
12500 - 11000 / 12500 times 100%
= 12%
The profit percentage is 12%.

1a The marked price of the machine,


=$10000x(1+25%)
= 125
$10000x____

100
=$12500

The marked price of the machine is $12500

bi The profit of the machine,

=$12500x(1+10%)x(1-20%)
=$12500x110%x80%
= 110 80
$12500x___x___
100 100
=$11000

The profit of the machine is $11000-10000=$1000

bii The profit percent,

=11000-10000
___________x100%
10000
=1000
_____x100%
10000
=10%

The profit percent of the machine is 10%

If the price is increased by x% equation= price * (1+ x%)
If the price is decreased by / discount of x% equation= price * (1- x%)
Profit gain/loss = [(selling price - cost price) / cost price] * 100%

a) = marked price * (1+25%)
= marked price * (1.25)

b) first calculate the selling price
= marked price * (1+10%) * (1-20%)
[* marked price is calculated in part A *]
profit = selling price - cost price

profit per cent = profit / cost price * 100%