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:
147 comments Page 11 of 15.

Chandranaik.m said:   1 decade ago
Please sir give me Answer. How we get 420 in denominator?

Actual formula for gain = (gain*100/CP).

Vikash kumar said:   1 decade ago
But here it is specifically asked for sp (read the question).

Anurag said:   1 decade ago
@payal its not the profit percentage formula.

The required percentage asked is "what percentage of selling price is the profit".

So, (profit/S. P) *100 is the required percentage.

Anurag said:   1 decade ago
@Payal.

Question itself is asking 'What percentage of selling price is the profit'.

Payal sharma said:   1 decade ago
I understood everything but. Why you have taken S.P instead of C.P in the formula of profit percentage. And if its a theorem or formula so exactly where-2 we need to use this method.

Jitesh Kumar said:   1 decade ago
@Nitesh.

Your answer is wrong.

25% of 1000 is 1250(right).
& 320% of 1000 is 1320(how?).

32% of 1000 is 1320.
320% of 1000 is 3200.

So,
Let C.P = 1000.
profit = 320%.

But profit = S.P - C.P;
than S.P = 1000+3200.
= 4200.

Now given that C.P is increased by 25 %.
Then C.P becomes 1250 and S.P is constant.
Hence,

= (4200-1250)/4200*100.

= 70.23.

But if you make C.P is 100 than it will be easy.

Ram said:   1 decade ago
If question asking to Profit % on SP then Formula should be used -
Gain % = profit*100/SP.

If question asking to Profit % on CP then Formula should be used -
Gain % = profit*100/CP.

Priti said:   1 decade ago
There is some confusion for profit% formula. Please give me answer ?

ANGELIN ALFRED said:   1 decade ago
Here, profit % is calculated on SP i.e. 420.

But, it should be calculated on CP i.e. 100.

Pretty said:   1 decade ago
So the conclusion is that we can assume any value for cp if not mentioned?


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