C P(Cost Price):
The Price at which an article is purchased, is called
its cost price or In
short called C.P. or Cost price is amount of money goes out
from us
when purchase any article.
SP (Selling Price):
The price at which an article is sold, called
its selling price or In short
called SP.
Selling Price is a amount of money came in when selling by
anything.
Profit or Gain:
If S.P. is greater than C.P, then seller is said to have
a profit or gain.
Loss:
If S.P. is less than C.P., the seller said to have
a loss.
Marked Price:
When we purchase any item we saw the label price or Marked
Price or
listed Price and denoted by M.P.
Some important formulas:
1. Selling price is greater than cost price is called Gain.
Gain = (S.P) – (C.P)
15% Profit on article that means,
Cost price 100%
Selling Price 115%
Profit 15%
2. If Cost price is greater than Selling
price is called Loss.
Loss = (C.P) – (S.P)
15% Loss on article that means,
Cost price 100%
Selling Price 85%
Loss 15%
3. Profit and Loss is always calculated on
C.P (Cost Price).
Gain percent Shortcut tricks
Example: Rajan purchases an article for Rs.40 and sells
it for Rs. 60.
Find his gain percent.
Answer: C.P = 40 and S.P = 60.
Gain= 60 – 40 = 20.
Gain % = 20 x 100/40 = 50%
Loss percent Shortcut tricks
Formula: Loss% = (Loss x 100/C.P)
Example:
10% loss on selling price is what percent loss on the cost
price ?
Answer:
consider selling price be = Rs.100, Then loss = Rs.10
Cost price = Rs.( 100 + 10 ) = 110
So, loss% = (10 / 110 x 100 ) = 100 / 11 %
Find selling Price Profit and Loss Shortcut tricks
Formula: S.P = (100+Gain %) /100 x C.P.
Example: If C.P of a product is a Rs. 180 , Gain = 30%, then
Find the S.P.
Answer: S.P =?
S.P = 130% of Rs. 180, Gain = (100+30) = 130, (130/100 x
180) = Rs.234
So Selling Price is Rs. 234
Find cost price Profit and Loss Shortcut tricks
Formula: C.P =100 x S.P/ (100+Gain %).
Example: If S.P of a article is Rs. 240 then Gain 20%, Find
the C.P.
Answer: C.P.= ?
C.P. = 100 x 240 / (100+20)
=24000/120 = 200
C.P. = 200
shortcut Tricks:
100 x 240/ (120) = 200
Example:
Find the single discount equivalent to a series discount of
30%, 20% and
10%.
Answer:
Let price be Rs. 100.
Then Net S.P = (90 x 80 x 70 / 100 x 100 x 100) x 100
= 36 x 7 / 5
= 252 / 5
= 50.4.
Required Discount is = (100 – 50.4) = 49.6
Example:
The Profit earned by selling an article for Rs.630 is equal
to the loss
incurred when the same article is sold for Rs. 370. What
should be the
sale price for making 50% profit?
Answer:
Let C.P price be x
Then
630 – x = x – 370
2x =1000
x = 500
Required S.P = 150% of 500
= 150 x 500 / 100
= 750
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