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

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

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

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

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 '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.**
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.**

**To buy the super-hit SSC Hack-Book, follow the below link-**

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 .. :)

ReplyDeleteMPBOSE Admit Card 2017

ReplyDeleteBSEO Admit Card 2017

CGBSE Admit Card 2017

Goa Board Admit Card 2017

CBSE Admit Card 2017

WBBSE Admit Card 2017

UK Board Admit Card 2017

UP Board Admit Card 2017

Bihar Board Hall Ticket 2017

AP Board Admit Card 2017

ReplyDeleteSEBA Admit Card 2017

Telangana Hall Ticket 2017

TBSE Admit Card 2017

Kerala Board Admit Card 2017

SSC CGL Book Free Download

Tamil Nadu Board Hall Ticket 2017

Sir can you please provide me any short cut method to solve

ReplyDeleteProfit And Loss Problemsin minimum time.