Profit & Loss
KEYWORDS
●   Cost Price:
     ○   The price, at which an article is purchased, is called its cost
         price, abbreviated as C.P
●   Selling Price:
     ○   The price, at which an article is sold, is called its selling
         prices, abbreviated as S.P.
●   Profit / Gain:
     ○   If S.P. is greater than C.P., the seller is said to have a profit or
         gain.
●   Loss:
     ○   If S.P. is less than C.P., the seller is said to have incurred a loss.
                        FORMULAS: VOLUME 1
                If you are given both the CP and SP, you will be asked to find
                gain, loss, or both.
                  -GAIN-                                              -LOSS-
❏   Gain = (S.P.) - (C.P.)                        ❏    Loss = (C.P.) - (S.P.)
❏                                                 ❏
EX 1.
Some articles were bought at 6 articles       Solution:
for Rs. 5 and sold at 5 articles for Rs. 6.
Gain percent is:
A.   40%
B.   33.33%
C.   44%
D.   20%
EX 2.
Sam purchased 20 dozens of toys at        Solution:
the rate of Rs. 375 per dozen. He sold
each one of them at the rate of Rs. 33.
What was his percentage profit?
A.   4.4%
B.   3.4%
C.   4%
D.   5.6%
        FORMULAS: VOLUME 2
 If you are given GAIN % (or) LOSS %, you will be asked to find
 CP (or) SP.
-COST PRICE-                                          -SELLING PRICE-
     If an article is sold at a gain of say 35%, then S.P. = 135% of C.P.
      If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
EX 3.
A vendor bought toffees at 6 for a    Solution:
rupee. How many for a rupee must he
sell to gain 20%?
A.   5
B.   3
C.   2
D.   6
EX 4.
When a plot is sold for Rs. 18,700, the   Solution:
owner loses 15%. At what price must
that plot be sold in order to gain 15%?
A.   25,000 RS
B.   27,000 RS
C.   25, 300 RS
D.   30,000 RS
                      FORMULAS: VOLUME 3
●   When a person sells two similar items, one at a gain of say x%, and the other at a
    loss of x%, then the seller always incurs a loss given by:
EX 5.
A trader mixes 26 kg of rice at Rs. 20   Solution:
per kg with 30 kg of rice of other
variety at Rs. 36 per kg and sells the
mixture at Rs. 30 per kg. His profit
percent is:
A.   3%
B.   10%
C.   8%
D.   5%