Short cuts for solving Profit and Loss problems - Vikas Saini



  • Q. By selling 18 oranges profit is equal to sp of 3 oranges.Find profit percentage.

    Alternate approach:-

    Sp of 1 orange = x.

    cp of 1 orange = y.

     18x – 18y = 3x

    = > 18 y = 15 x.

    Profit percentage = (3x/18y)x100

    = (3x/15x)x100

    = 20%.

    Short approach :-

    Profit percentage = [profit (quantity) / (Total quantity – profit)] x 100

    = [(3)/(18-3)] x 100

    = [3/15] x 100

    = 20%

    Q.  By selling 18 chocolates,vendor loss selling price of 2 chocolates.Find loss percentage.

    Alternative approach :-

    sp of 1 chocolate = x

    cp of 1 chocolate = y

    18 y – 18 x = 2x.

    18 y = 20 x.

    Loss percentage = (2x/18 y) x 100

    = (2x/20x)x100

    = 10%.

    Short approach :-

    Loss percentage = [Loss (quantity) / (Total quantity + loss) ] x 100

    = [ 2 / (18+2) ] x 100

    = 10%.

    Q. On selling an article for rs 576 a trader losses 4%.In order to gain 25/6 % , he must sell article for

    A.6 55 rs                               B.676 rs C.625 rs                D. 600 rs.

    Alternate approach :-

    Cost price =  [576 / (100 – 4)] x 100 = 600 rs.

    Selling price = 600 x (1 + 25/(6 x 100) = 625.

    Short approach :-

    Direct formula to find sp in such problems

    = previous selling price x 100 x (1+ gain percent)/(1 – loss percent)

    = 576 x 100 x (1+25/600)/(1 – 4/100)

    = 625 rs.

    Q.  A goldsmith has 361 rings of gold.He sells some of them at a loss of 4% and rest at a profit of 15%. Overall profit is 8%.Find no of rings sold at profit of 15%.

    Alternate approach :-

    Suppose he sold x no of rings at profit of 15%.

    (361-x)x(1-4/100)+x (1+15/100) = 361 x (1+8/100)

    361 x 0.96 – 0.96x + 1.15x = 361x1.08

    0.19 x = 361(1.08-0.96)

    X = 361 x (0.12) / (0.19) = 228.

    Short approach :-

    By allegation

    -4                            15

                    8

    7                              12

    No of rings = [(12)/(12+7)]x361 = 228.

    Q. On selling 17 balls at rs 720,there is loss equal to the cost price of 5 balls.The cost price of a ball is

    A. 45 rs                 B.50rs                    C.55rs                    D.60 rs.

    Short approach :-

    Cp of ball = selling price of all balls / (total balls – loss(no of balls)

    = 720 / (17-5 )

    = 60 rs.

    Q. The cost price of 10 pens is the same as the selling price of n pens.If there is a loss of 40%.Find value of n.

    Short approach :-

    n / n + 10 = 40/100

    n = 6.66.

    Q. A shopkeeper uses a weight of of 460 gm instead of 500 gm and sells the article at the cost price.What is profit percentage ?

    A.40%                   B.23%                    C.8 +16/23 %                      D.20%

    Short approach :

    Profit percentage = [ (500 – 460)/460] x 100

    = (40/460)x100


Log in to reply
 

Looks like your connection to MBAtious was lost, please wait while we try to reconnect.