Hi folks!

Profit and Loss is one of the most important and easier topics under **SSC CGL** 2018. Hence, Team SSCHacks has devised a SUPERHACK that would enable you to solve most of the questions related to** Profit and Loss within seconds.**

To understand, you must take a look at this formula, where:

**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

Now, let us take a look at some of the SSC CGL questions that can be solved with the help of this formula:

**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)

**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/f**

From basic mathematics or elementary science, we know that putting delta (Δ) sign in numerator and denominator doesn’t change the equation. Δ stands for ‘change’

**c = Δs/Δf** where Δs = change in SP

Δf = change in factor

Therefore** Δs = New SP-Old****SP** = Rs. 60

Δf = New factor-Old factor

The new factor is the factor when profit is 5%. The old factor is the one with loss = 10%

So Δf = 1.05-0.9= 0.15

**c = Δs/Δf** = 60/0.15 = Rs. 400

Answer: Rs 400

Hope this was easy !!

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Happy Learning.**
**All the Best!

–**Team **SSCHacks** **

How to find out ‘f’ ? Explain the steps! Please..

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How to find out ‘f’ ? Explain the steps

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f is the ratio of selling price and cost price. f= (SP:CP).

Also, if you know the Profit% or Loss% then you can calculate f in the following way:

For Profit%: f= (100 + Profit%)/100.

For Loss%: f= (100-Loss%)/100

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