Sunday, 24 April 2016

लाभ हानि: Profit , Loss and Discount Short Tricks लाभ हानि छूट ( बट्टा ) शार्ट ट्रिक | Maths Short Tricks in Hindi

Profit, Loss and Discount Short Trick लाभ हानि छूट ( बट्टा ) शार्ट ट्रिक 

In this post we are going to give some most important short tricks of Profit and loss questions in Hindi as well as English language. This is very important tricks for those who want to clear various government departmental competitive examinations. because for checking accuracy and speed of candidates the examination board check through various aptitude chapters.
Term
Explanation
Cost Price:-
The price at which a anything is purchase is called Cost price;
Selling Price:- 
The price at which a anything is sell is called Selling price.
Profit:- 
If selling price of anything is more than its cast price then there is profit.
Loss:- 
If cost price of anything is more than its selling price then there is loss.
Profit Percent:- 
 If profit at per 100 rs is known as % profit.


Loss Percent:-   
If loss at per 100 rs is known as % loss. 
Extra expanse:- 
In bringing thing on its right place bus rent , train rent , porter rent , taxi rent , rent of shop , salary of staff salary etc.  Expenditure of seller is called extra expanse.
Discount:- 
The concession given by the seller on printed price s called discount.



Term
Formula
Profit=
Selling price - cost price
Loss=
Cost price - selling price
Cost price=
Selling price - Profit
Cost price=
Selling price + loss
Profit %=
{(Profit / cost price) x 100}%
Loss %=
{(Loss / cost price) x 100}%





PROFIT , LOSS AND DISCOUNT TRICKS AND TYPES


Profit , Loss and Discount Type 
Formula
 If X is cost price of a product is equal to selling price of Y products, then-
1.     Profit % = [{(X - Y) / Y } x 100] %
2.     Loss % =  [{(Y - X) / Y } x 100] %

Example:- If cast price of 21 apples is equal to selling price of 15 apples , then find profit% ?




Most Important Questions and solution; asked in previous year competitive exam
Q 1
Ex. 1. A man bought a horse and a carriage for Rs. 3000. He sold the horse at a
gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find
the cost of the horse. 
Q : एक आदमी ने 3000/- एक घोडा और एक गाड़ी खरीदी ; उसने घोडा 20% लाभ पर और गाड़ी 10% हानी पर बेच दी; जिससे उसे 2% का लाभ हुआ; घोड़े का क्रय मूल्य ज्ञात करो। 
Solution
Let the C.P. of the horse be Rs. x. Then, C.P. of the carriage = Rs. (3000 — x).
 20% of x — 10% of (3000 — x) = 2% of 3000
x/5 - (3000-x)/10
= 60
=2x—3000+x = 600
= 3x= 3600
x= 1200.
Hence, C.P. of the horse = Rs. 1200.
Q 2
Find the single discount equivalent to a series discount of 20%, 10% and 5%.
Q:- एकल छूट ज्ञात करो जो लगातार 20%, 10% और 5% छूट के बराबर है। 
Solution
Let marked price be Rs. 100.
Then, Net S.P. = 95% of 90% of 80% of Rs. 100
= Rs(95/100 x90/100 x 80/100) x 100 = Rs. 68.40.
... Required discount = (100 — 68.40)% = 31.6%.




Q 3
After getting two successive discounts, a shirt with a list price of Rs. 150
available at Rs. 105. If the second discount is 12.5%, find the first discount.
Q :- दो क्रमागत छूट के बाद एक कमीज़ के 105/- मे मिला जिसकी किमत 150/- थी। यदि दूसरी छूट 12.5% है तो दूसरी छूट ज्ञात करो। 
Solution
Let the first discount be x%.
Then, 87.5% of (100 — x)% of 150 = 105
87.5/100 x (100-x)/100 x 150 = 105
100-x = (105x100x100) / 150x87.5)
=80
x = (100-80)
= 20 First discount  = 20%
Q 4
An uneducated retailer marks all his goods at 50% above the cost price and
thinking that he will still make 25% profit, offers a discount of 25% on the marked
price. What is his actual profit on the sales? 
:- एक अनपड विक्रेता ने सभी वस्तुओ पर 50% बड़ा दिये क्रय मूल्य से। उसने सोचा की शायद उसने 25% ही बड़ाये जिससे उसने 25% छूट भी दे दी। उसका लाभ प्रतिशत ज्ञात करो। 
Solution
Let C.P. = Rs. 100. Then, marked price = Rs. 150.
S.P. = 75% of Rs. 150 = Rs. 112.50.
... Gain% = 12.50%.



Q 5
A retailer buys 40 pens at the marked price of 36 pens from a wholesaler
If he sells these pens giving a discount of 1%, what is the profit percent? 
एक आदमी ने एक होलसेलर से 36 पेन की कीमत से 40 पेन खरीदे। अब उसने 1% छूट पर पेन बेचना शुरू किया , तो उसका लाभ ज्ञात करो। 
Solution
Let the marked price of each pen be Re. 1.
Then, C.P. of 40 pens = Rs. 36. S.P. of 40 pens = 99% of Rs. 40 = Rs. 39.60.
Profit%= (3.60/36 x lOO) % = 10%.

Q6
At what percentage above the C.P must an artide be marked so as to gain
33% after allowing a customer a discount of 5%? 
वह कीमत ज्ञात करो जिस पर उसे 33% का लाभ मिले जब वह उस वस्तु पर 10% के साथ छूट भी दे। 
Solution
Let C.P. = Rs. 100. Then, S.P. =‘Rs. 133.
Let marked price be Rs. x
Then, 95% ofx= 133
95x/100=133
 x = 133x 100/95J = 140
Marked price = 40% above C.P.

Profit , Loss and Discount Type

Profit , Loss and Discount Trick-2

Formula
If X product buy Y rupees and Y products is sold at X rupees, then-
1.             Profit % = [{(X^2 - Y^2) / Y^2 } x 100] %
2.             Loss % =  [{(Y^2 - X^2) / Y^2 } x 100] %

Example:- A person buy pencil at the price of 10rs per 12 pencils and sold it at the rate of 12rs per 10 pencils, then find the profit% ?


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>> Maths Short Tricks in Hindi  <<


Profit , Loss and Discount Type

Profit , Loss and Discount Trick-3

Formula
If X product is buy at Y Rs and a product is sold at b Rs, then-
1.     Profit % = [{(bX - aY) / aY } x 100] %
2.     Loss % =  [{(aY - bX) / bY } x 100] %
Example:- A fruit seller buy oranges at 5 rs per 3 and sold it at the rate of 4 rs per 2 oranges, then find profit% ?
































Profit , Loss and Discount Type

Profit , Loss and Discount Trick-4

Formula
1.               If on selling X product , profit is equal to selling price of Y product , then-
Profit % = [{Y / (X - Y) } x 100] %
2.               If on selling X product , loss is equal to selling price of Y product , then-
Loss % = [{Y / (X + Y) } x 100] %
Example:- A shopkeeper sell 150 buttons and got profit of price of 25 buttons, then find profit% ?


Profit , Loss and Discount Trick-5

Formula
1.                 If a businessmen at the time of buying used a defective weigh machine and cheated of X% and at the time of selling cheated of X%, then total profit percent-
    [{(100+X)^2 / 100} - 100]%
2.             If a businessmen at the time of buying used a defective weigh machine and cheated of X% and at the time of selling cheated of Y%, then total profit percent-
[{(100+X)(100+Y) / 100} - 100]%

Example:- A businessmen at the time of buying used a defective weigh machine and cheated of 10% and at the time of selling cheated of 10%, then find total profit% ?


Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-6

Formula
Error% or Profit% =
[(Error / wrong measurement) x 100]%


Example:- A shopkeeper sold his product at the cost price , but at the place of 1kg weight he used 960 gm, then find profit percent% ?







Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-7

Formula
1.               If cost price of two products is same and he got X% profit on first product and loss of X% on second then there is no profit or loss.
2.               If selling price of two products is same and he got X% profit on first product and loss of X% on second then there is always loss and that loss% = [X^2 / 100]%.
3.                If selling price of two products is same and he got P% profit on first product and loss of L% on second then at this condition profit or loss % = [{100(P-L)-2PL}/{(100+P)+(100-L)}]%
Example:- A person buy two book both at 80 rs , on selling one book he got profit of 15% and loss on selling second book , find profit or loss percent?

Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-8

Formula
Selling price of two products is same -
1.      If one of them is sold at P1% profit and second is sold at profit of P2% , then-                                               Cp1 : Cp2 = (100+P2) : (100+P1)
2.      If one of them is sold at P% profit and second is sold at loss of L% , then-                                                    Cp :CL = (100-L) : (100+P) 
3.      If one of them is sold at L1% loss and second is sold at loss of L2% , then-                                               CL1 : CL2 = (100-L2) : (100-L1)
Example:-  Selling price of two fans is same , priented cost price of both is 2300 rs. one of them is sold at 10% profit and second is sold at profit of 20%, then find there cost price ?


Profit , Loss and Discount Type

Profit , Loss and Discount Trick-9

Formula
(i)     Cost price     =    (selling price x 100) / (100 + profit%)
(ii)    Cost price  =    (selling price x 100) / (100 - loss%)
 (i)     Selling price    =    cost price x (100+profit%) / 100                                                
(ii)    Selling price    =    cost price x (100-loss%) / 100
 Example:-  If on selling a product on 240 rs , profit of 20% is gain , then find its cost price?


Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-10

Formula
1.            A product is sold at X% profit, at a rs , if it will sold at Y% profit , then its selling price= [{a x (100+Y)} / (100+X)] rs
2.            A product is sold at X% loss, at a rs , if it will sold at Y% profit , then its selling price-     = [{a x (100+Y)} / (100-X)] rs
3.             A product is sold at X% loss, at a rs , if it will sold at Y% loss , then its selling price-     = [{a x (100-Y)} / (100-X)] rs
Example:-  A electric iron is sold at 15% profit, if it will sold at 600 rs then we get 20% profit, then find its selling price?




Profit , Loss and Discount Type

Profit , Loss and Discount Trick-11

Formula
1.            A purchase a thing in X rs and sell it to B at r1% profit and B sell it to C at r2% profit , if cost price for C is Y rs , then-    
= X x [1 + (r1/100)] x [1 + (r2/100)] = Y
2.            A purchase a thing in X rs and sell it to B at r1% profit and B sell it to C at r2% loss , if cost price for C is Y rs , then-
 = X x [1 + (r1/100)] x [1 - (r2/100)] = Y
3.             A purchase a thing in X rs and sell it to B at r1% loss and B sell it to C at r2% loss , if cost price for C is Y rs , then-         
= X x [1 - (r1/100)] x [1 - (r2/100)] = Y

Example:-  A purchase a cycle and sell it B at 20% profit and B sell it to C at 25% profit , if cost price for C is 1500 rs , then at how much price did A purchase it ?




Profit , Loss and Discount Type

Profit , Loss and Discount Trick-12

Formula
1.            Cost price   = (difference of selling price / difference of profit percent) x 100
2.            Cost price =   (difference of selling price / loss% + profit%) x 100
3.            Cost price   = (difference of selling price / difference of loss percent) x 100
4.             Printed price =  (difference of saving /difference of percentage value ) x 100
Example:-  If a product is sell at 20% profit instead of 15% profit , then its selling price will become 500 rs , find its cost price?

Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-13

Formula
  The profit gained on selling a product at X rs , on selling it on Y rs same loss will be got ,
then cost price of that product -
 = [(X + Y) / 2]rs
               
Example:-  On selling a watch at 820 rs same profit will be gained that loss is happen on selling it at 650 rs , find cost price of the watch?



Profit , Loss and Discount Type

Profit , Loss and Discount Trick-14

Formula
On selling a product at X rs, profit percent is equal to numerical value of cost price,
then cost price of that product (or loss%)-
= [10 (Root{X+25}) - 50]rs
Example:-  On selling a product at 96 rs profit percent will become equal to numerical value of cost price, then find cost price of that product?

Profit , Loss and Discount Type

Profit , Loss and Discount Trick-15

Formula
On selling a product at Y rs instead of X rs , profit will become n times ,
 then cost price of that product-
= [(nX - Y) / (n - 1)] rs

Example:-  On selling a product at 140 rs instead of 120 rs the profit become double, find cost price of that product?




Profit , Loss and Discount Type

Profit , Loss and Discount Trick-16

Formula
 The profit on selling a product at X rs is n times of loss on selling that product at Yrs, then cost price of that product-
    = [(X + nY) / (n + 1)] rs
Example:-  The profit on selling a product at 840 rs is double of loss on selling that product at 600 rs , then find the cost price of that product?

Profit , Loss and Discount Type

Profit , Loss and Discount Trick-17

Formula
                   The similar consecutive value of X%  and Y% is –
= {(X + Y) - (XY/100)}%                               or  
 = [1 - {1 - (X/100)}{1 - (Y/100)}] x 100
Example:-  What is the similar consecutive value of 10%  and 20% ?

Profit , Loss and Discount Type

Profit , Loss and Discount Trick-18

Formula
 The three similar consecutive value of  X%,Y% and Z% is –
=[1 - {1 - (X/100)}{1 - (Y/100)}{1 - (Z/100)}] x 100

Example:-  What is the similar consecutive value of 10% , 20% and 30% ?

Profit , Loss and Discount Type

Profit , Loss and Discount Trick-19

Formula
After giving the discount of D% , there is profit of  P% , then increase in percent of print rate with respect to cost price –
  = [{(P + D) / (100 - D)} x 100]%

Example:-  A shopkeeper after giving the discount of 20% , earn profit of  20% , then what is increase in percent of print rate with respect to cost price?

Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-20

Formula
After giving the discount of D1% , there is profit of  P% , then on giving D2%, profit percent will be-
= [{(100 + P)(100 - D2)} / (100 - D1) ]- 100%

Example:-  On giving discount of 10% then profit is 20% , if this discount will be 20% then what will be profit percent?

Profit , Loss and Discount Type 

Profit , Loss and Discount Trick-21

Formula
After giving the discount of D% , there is profit of  P% ,
printed  rate of that product will be-
= cost price x [(100 + P) / (100 - D)

Example:-  If a shopkeeper by a product at 3000 rs , what will be print rate so that on giving 25% of discount he will got profit of 10%?

Questions asked in different exams of Profit Loss Discount and Solution 


 Questions asked in different exams

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