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 1 of 15.

Kshitiz Vaya said:   3 years ago
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 = (Profit/Cost Price) * 100 = Rs. (295/125)*100 = 236%
Ans = 250% (approximately).
(73)

Anil said:   3 years ago
We always calculate with cost price, we can't take profit percentage on selling price,then how could you take s.p over c.p?

Please explain me.
(46)

Narmadha said:   2 years ago
While calculating profit%, we should have to take CP in the denominator right? why they took SP?

Anyone, please explain it.
(37)

Adarsh J R said:   2 years ago
Given:
profit=320%.
C.P = increases 25%.
S.P = remains constant.
Asking, S.P % if C.P is increased 25% for the profit 320%?
Generally, when C.P. increases 25% obviously S.P decrease 25% for the same 320%profit.
i.e, S.P - C.P = Profit.

If, S.P(100) - C.P(100) = 320.
Then, C.P(125) - S.P(75) = 320 [when C.P increases 25%],
Therefore, S.P = 75%,
Approximately, S.P = 70%.
(25)

Mahee said:   2 years ago
@All.

Here they took SP in the denominator because in the question they asked "what percentage of SP is the profit".

Correct me, if I'm wrong.
(24)

PRANJAL KUMAR said:   9 months ago
@All.

Here the question is asked that;.
What percentage of the selling price is the profit? NOT PERCENTAGE PROFIT.

Please note it and solve...
(21)

Aswini panguluri said:   11 months ago
Formula for profit percertage is (sp-cp) /cp * 100.
Then I think the answer is 250%.
(18)

Maahi said:   2 years ago
I can't understand this.Anyone explain this to me?
(16)

Gamal said:   2 years ago
Profit % = (s.p - c.p )*100/c.p.
say c.p = 100 Re.
Therefore s.p=420 Re
The cost inc by 25% = 125 Re,
s.p = 420 Re.

The profit it requires percent of the selling price = (420-125/420)*100 = 70%.
(14)

Victoria meesala said:   11 months ago
If we use the cost price (CP) in the denominator, we would be calculating profit as a percentage of cost. So we used the selling price in the denominator.

Am I right?
(13)


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