find the profit or loss percentage -: Q -: C.P=20000, S.P=2275
Answers
Answer:
CP=20000
SP=2275
CP>SP
So there will be a loss
Loss=CP-SP
Loss=20000-2275
Loss=17725
Loss%=
Loss%=
Loss%=88.625
therefore loss%=88.625
Answer:
On finding sp when cp and profit or loss percent are given
In this method you can use proportion or formula.
If Profit % is given then selling price will be
CP (100 + P%)
SP = ------------------
100
To find SP when loss % and CP are given
CP (100 - L%)
SP = ------------------
100
Illustration 1 : Cost price = $450, Profit % = 5% find SP.
Solution :
As profit percent is given, we use the following formula.
CP (100 + P%)
SP = ------------------
100
450 (100 + 5)
SP = ------------------
100
450 x 105
SP = -------------
100
47250
SP = -----------
100
∴ Selling price = $472.50
________________________________________________________________________
Illustration 2 : A bookseller sold 500 copies of a book at a profit of 20%. If a book costs him $15, find the selling price of the books.
Solution:
We have, Cost of one copy =
15
∴
C
o
s
t
o
f
500
c
o
p
i
e
s
=
(500 x 15) =
7500
I
t
i
s
g
i
v
e
n
t
h
a
t
t
h
e
b
o
o
k
s
e
l
l
e
r
s
o
l
d
500
c
o
p
i
e
s
a
t
a
p
r
o
f
i
t
o
f
20
∴
P
r
o
f
i
t
=
20
1500
Now, S.P. = C.P. + Profit = 7500 + 1500 = $ 9000
__________________________________________________________________________
Illustration 3 Bobby bought oranges at $5 a dozen. He had to sell them at a loss of 5%. Find the selling price of one orange.
Solution:
We have, C.P. of one dozen oranges =
5
L
o
s
s
∴
L
o
s
s
=
5
5 = 5/100 x 5=
¼
∴
S
.
P
.
=
C
.
P
.
–
L
o
s
s
=
5
–
¼
=
19/4
Thus, S.P. of one dozen oranges =
19
/
4
∴
S
.
P
.
o
f
o
n
e
o
r
a
n
g
e
=
19/4 x 1/12 =
0.395
o
r
40
Profit and Loss
• Finding profit or loss percent
• Finding cp when sp and Profit or Loss percent are given
• Finding sp when cp and Profit or Loss percent are given