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?
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 14 of 15.
Bhupal said:
3 years ago
Let Cp = 100.
Gain = 320
SP = 420
Now;
Gain% = Gain ÷ sp * 100.
= 420-125/420 * 100.
= 295/420 * 100
= 29500 ÷ 420
= 70%.
Gain = 320
SP = 420
Now;
Gain% = Gain ÷ sp * 100.
= 420-125/420 * 100.
= 295/420 * 100
= 29500 ÷ 420
= 70%.
(10)
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).
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.
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.
Anyone, please explain it.
(37)
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%.
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)
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.
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)
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%.
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)
Maahi said:
2 years ago
I can't understand this.Anyone explain this to me?
(16)
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 %.
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)
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%.
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)
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