Profit/Loss is another easy topic of SSC CGL. Most of the questions can be solved in less than 30 seconds. First let me introduce a formula that will be used in solving 50% of the questions.
Where,
SP = Selling price
CP = Cost Price
f = Profit/loss factor
SP = Selling price
CP = Cost Price
f = Profit/loss factor
What is this profit/loss factor ? It’s simple, ‘f’ depends on the profit/loss %
If profit% = 10, then f = 1.1
If profit% = 30, then f = 1.3
If profit% = 15, then f = 1.15
If loss% = 10, then f = 0.9
If loss% = 25, then f = 0.75
If loss% = 12.5, then f = 0.875
Please note that f depends on profit/loss percentage and not on the absolute value of Profit/Loss. So if in any question it is given that the profit is Rs. 30, then it doesn't mean that f = 1.3
Let us see some SSC CGL questions that can be solved with this formula
Let 's' be the SP of 1 article and 'c' be the CP of 1 article.
Given, 6c = 4s
Therefore s/c = 1.5
Gain % = 50
Answer : (B)
Let 's' be the SP of 1 metre of cloth and 'c' be the CP of 1 metre of cloth
Total SP = 20s, Profit = 4s
CP = SP - Profit = 16s
The ratio s/c = 20s/16s = 1.25
Gain % = 25
Answer : (C)
SP of 1 article(s) = Rs. 10/8 = 5/4
CP of 1 article(c) =Rs. 8/10 = 4/5
s/c = 25/16 = 1.5625
Gain % = 56.25
Answer : (A)
Q) 4. Kunal sold a shirt at a loss of 10%. Had he sold it for Rs 60 more, he would have gained 5% on it. Find the CP of the shirt.
From basic mathematics or elementary science we know that putting delta (∆) sign in numerator and denominator doesn't change the equation. ∆ stands for 'change'
c = ∆s/∆f
where ∆s = change in SP
∆f = change in factor
Therefore ∆s = New SP - Old SP = Rs. 60
∆f = New factor - Old factor
New factor is the factor when profit is 5%. Old factor is the one with loss = 10%
So ∆f = 1.05 - 0.9 = 0.15
c = ∆s/∆f = 60/0.15 = Rs. 400
Answer : Rs 400
If profit% = 10, then f = 1.1
If profit% = 30, then f = 1.3
If profit% = 15, then f = 1.15
If loss% = 10, then f = 0.9
If loss% = 25, then f = 0.75
If loss% = 12.5, then f = 0.875
Please note that f depends on profit/loss percentage and not on the absolute value of Profit/Loss. So if in any question it is given that the profit is Rs. 30, then it doesn't mean that f = 1.3
Q. 1
Let 's' be the SP of 1 article and 'c' be the CP of 1 article.
Given, 6c = 4s
Therefore s/c = 1.5
Gain % = 50
Answer : (B)
Q .2. 
Let 's' be the SP of 1 metre of cloth and 'c' be the CP of 1 metre of cloth
Total SP = 20s, Profit = 4s
CP = SP - Profit = 16s
The ratio s/c = 20s/16s = 1.25
Gain % = 25
Answer : (C)
Q . 3.
SP of 1 article(s) = Rs. 10/8 = 5/4
CP of 1 article(c) =Rs. 8/10 = 4/5
s/c = 25/16 = 1.5625
Gain % = 56.25
Answer : (A)
In this question we have to find the CP of the article
c = s/fFrom basic mathematics or elementary science we know that putting delta (∆) sign in numerator and denominator doesn't change the equation. ∆ stands for 'change'
c = ∆s/∆f
where ∆s = change in SP
∆f = change in factor
Therefore ∆s = New SP - Old SP = Rs. 60
∆f = New factor - Old factor
New factor is the factor when profit is 5%. Old factor is the one with loss = 10%
So ∆f = 1.05 - 0.9 = 0.15
c = ∆s/∆f = 60/0.15 = Rs. 400
Answer : Rs 400
If you have any doubt in any question that has been asked by SSC, please drop a comment.
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Awesome n very very very helpful sir, plz post shortcuts in every topics sir, the way u aah xplaining is simply superb sir
ReplyDeleteThnkyou ..pls post more :)as tim is less
ReplyDeleteIn qtn 3...25/16 ..opst n hogya? @mod?
ReplyDeleteThanks for pointing it out...updated :)
DeleteActually s = 5/4 and c = 4/5, I had interchanged the values.
Thnkyou ..great wrk ..upload more :)
DeleteThnkyou ..great wrk ..upload more :)
DeleteThnkyou ..pls post more :)as tim is less
ReplyDeleteLast ques: 15%(10% loss+5% gain)=60 => 100%= 400.
ReplyDeleteTrue brother. I have used that method just to show that most of the questions can be solved with s/c=f approach :)
DeleteThank u sir..
ReplyDeleteBrother I want to join coaching of mathematics in Delhi. Do u know which coaching and which sir I should consult. Help me pls
ReplyDeleteThis comment has been removed by the author.
ReplyDeletein ques no. 4 above
ReplyDeletegap between -10% (as 10 % loss is there) and +5% (as 5% profit is there), is 15
so 60 is the value of 15 %, multiply it with 100, as we hv to find the CP n it is always 100%
60/15 multiplied by 100 gives us 400 as our required answer
in ques no. 4 above
ReplyDeletegap between -10% (as 10 % loss is there) and +5% (as 5% profit is there), is 15
so 60 is the value of 15 %, multiply it with 100, as we hv to find the CP n it is always 100%
60/15 multiplied by 100 gives us 400 as our required answer
From profit % , how did u calculated f? Like 10% givibg 1.1 pls explain sir
ReplyDeleteAnd thanku so much for the tricks. Keep uploading
If we get 10% profit and want to covert into factore it will be 10+100/100=1.1 and if we get loss of 10 it will be 10-100/100=0.9
DeleteIf we get 10% profit and want to covert into factore it will be 10+100/100=1.1 and if we get loss of 10 it will be 10-100/100=0.9
DeleteThis comment has been removed by the author.
ReplyDeletePrashant what's the need of putting delta in qus 4 if we find it like c=s/f. F=profit factore-loss factore
ReplyDeletePrashant what's the need of putting delta in qus 4 if we find it like c=s/f. F=profit factore-loss factore
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteThank you These trick these are such nice and usefull.Do u hav any trick related to instalment of SI and CI??
ReplyDeleteCP of article is Rs.1200, and a discount of 10% is allowed while selling the article.Had the article been selling Rs.90 extra,what is the percent of gain or loss?
ReplyDeletePlease answer to my question.
CP of article is Rs.1200, and a discount of 10% is allowed while selling the article.Had the article been selling Rs.90 extra,what is the percent of gain or loss?
ReplyDeletePlease answer to my question.
sir can u provide some more trick from profit n loss
ReplyDeleteBro...waiting for profit and loss hack 2..
ReplyDeleteThis is a ques asked in cgl tier-2 2012
ReplyDeleteQues.) A fan in a shop is offered at a dis+count of 10%. It is sold during clearance sale at 6% discount over the already discounted price at Rs846. The original marked price of the fan is:
a)Rs900 b)Rs946 c)Rs850 d)Rs896
sir in this ques we need to find out the mp of fan before 10% discount or before 6%?? I think we need to calculate the mp before 10% so original price is coming Rs1000/ plz sir suggest me.....
Answer 1000 only.Its simple problem like,if two successive discounts of 10,6 % given what is the SP? if MP=1000.
DeleteHope it helps
More power to you !!
ReplyDeleteMore power to you !!
ReplyDeleteHi, please help me with the below question and can we solve it with any trick? i have some problem with that product consistency table. The question is:-
ReplyDeleteA reduction of 20% in the price of sugar enables a housewife to purchase 6kg more for Rs 240. what is the original price per kf of sugar?
Ans 10/kg
20/100*240=6x
ReplyDeleteX=8
After reduction, price per kg of sugar is rs.8.
There is 20% reduction, therefore
80 / 100 * original price =8
Original price =10kg
sir ur hacks are simply suberb.. really helped a lot to increase my quant solving speed.. pls could u share how was ur tier 2 experience especially in quants paper and how to manage time efficently bcz i couldn't increase my attempt more than 70 .. do please share ur suggestion .. :)
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Sir can you please provide me any short cut method to solve Profit And Loss Problems in minimum time.
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