# 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

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