[Q] Profit-Loss Tricks - 2

Please read Part-1 before reading this part.

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Q. 6) 

CP of 1 article = Rs.8/10 = Rs. 4/5

SP of 1 article = Rs. 10/8 = Rs. 5/4
SP/CP = 25/16 = 1.5625
Hence profit% = 56.25

Answer: (A)

Q. 7)

Total investment = Total CP
Let the CP of 1 egg = C
Then total CP = 200C

Total eggs left = 200 - 38 = 162 eggs = 162/12 dozen
Total SP = (162/12)*4.8 = Rs. 64.8
f = 1.08
Hence CP = 64.8/1.08 = Rs. 60

Answer: (D)

Q. 11)

This question appeared in Tier-2 2014 and is one of the trickiest question asked by SSC from this topic. So much so that many question banks haven't published its solution. Although if your concepts are clear, then there is nothing tricky here.

Let the fruit-seller buys 100 oranges

Now, he has sold the oranges in two parts. First he sold 40 oranges and then he sold 48 (80% of 60) oranges.

Total SP = (SP of 40 oranges) + (SP of 48 oranges) 

Given, SP of 40 oranges = CP of 100 oranges

40S = 100C (where S = SP of 1 orange and C = CP of 1 orange)

S/C = 2.5

f = 2.5 and hence Profit = 150%

He sold 80% of remaining oranges at half the previous rate of profit.

That means he sold 48 oranges at 75% profit.

CP of 48 oranges = 48C

f = 1.75

SP of 48 oranges = 1.75*48C = 84C

Total SP = (SP of 40 oranges) + (SP of 48 oranges) = 100C + 84C = 184C

Total CP = 100C

f = SP/CP = 184C/100C = 1.84

Hence profit = 84%

Answer: (B)

If you have any doubt in this article, please drop a comment...

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[Q] Profit/Loss - 1

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

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

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 (∆) 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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