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.

SAYAK SEN said:   3 months ago
cp = 100,
profit = 320%,
sp = 420,
new cp = 125,
sp = 420.
Let the selling % = x.
(x/100)*420 = 320,
x = 16/21 *100.
Selling % = 70% (approx).
(4)

Kalyani said:   5 months ago
Let us assume c.p = 100,
p=320% of c.p = 320,
s.p = 100+320 = 420,
CP increase at 25% the c.p = 125,
p = 420 - 125 = 295,
p% = (295/420) * 100 =>70%.
(4)

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)

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)

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

Jaat tomar said:   1 year ago
Good, Thanks.
(2)

Kushal Obroy said:   1 year ago
Let C.P = x,

Given,
Profit Percentage: 320% of C.P.
Then
S.P = Gain - C.P
= 320x/100 - x = 220x/100.
Now, C.P increased by 25% then,
New C.P. = 125x /100.
Then,
New Gain = S.P. - C.P.
= 220x/100 - 125x/100,
= 95x/100.
Then, New Profit Percentage = (Gain * 100)/100.
= (95x/100)*100 /(125x/100).
= 76%.
(9)

Blurryface said:   2 years ago
Given :

P = 3.2*C.P
= S.P - C.P --->
Thus, S.P = 4.2*C.P
C.P'(new C.P) = 1.25*C.P.

Asked : {P'(new profit)/S.P} * 100.
Solution : P' = S.P - C.P'
= S.P - 1.25*C.P' ---> Given
= S.P - 1.25*(S.P/4.2) ---> Given
=(59/84)*S.P.
Therefore
(P'/S.P)*100 = (59/84)*100 = 70.24 %.
(12)

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

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)


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