Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 4)
4.
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
30%
70%
100%
250%
Answer: Option
Explanation:

Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295.

Required percentage = 295 x 100 % = 1475 % = 70% (approximately).
420 21

Video Explanation: https://youtu.be/bQA8SB8ycbw

Discussion:
146 comments Page 11 of 15.

Siva krishna said:   10 years ago
Guys give some more examples on profit and loss so that we can practice and understand too fast instead of this much confusion.

Mahi said:   10 years ago
We have calculated Profit and SP in first case but why to take 125% for new CP, Although CP is 25%?

Priya.D said:   10 years ago
How did you assume C.P value?

Sanket wankhede said:   9 years ago
How did 420 came into existence?

Vijay said:   9 years ago
Hello @Vindo,

He finding percentage, not profit percent.

Supriya said:   9 years ago
How to calculate 1475/21?

How did 70% come? Please explain?

Vinay said:   9 years ago
Good question @Supriya.

Sakharam said:   9 years ago
In solution see Initially CP is 100 and SP is 420, so Profit is 320%.

Now CP is 125 and SP is 420, so Profit should be 420 - 125 = 295 means 236% should be the correct answer.

Django Boy said:   9 years ago
The point is in 'what context' the profit percentage is to be calculated?

Is it relative to cost price or selling price?

Well!, when you're asked to find the profit %, its relative to the 'selling price'.

That's why in the above problem the answer is 70%. If we consider the cost price as the base to find the profit %, then it would be 236%. But this is wrong.

To understand this more,

Draw a pie diagram, taking the selling price (420) as the full circle and mark the proper fractions for cost price (125) and for the profit (295). Just see the portion of profit and determine the area covered in the circle, that's the profit %.

Deepika said:   9 years ago
Thanks for your clear explanation @Malini.


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