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 3 of 15.
Kanakam Vinay said:
1 decade ago
Nitesh your Answer is verry nice and Simple.
But 1000 is Working 1000 increased by 25% it became 1250 , but if u take 100 incresed by 25% it became as 125 then the Problem is Wrong .. If we assume anything it will be satisfied to all the Methods.
But 1000 is Working 1000 increased by 25% it became 1250 , but if u take 100 incresed by 25% it became as 125 then the Problem is Wrong .. If we assume anything it will be satisfied to all the Methods.
Suresh said:
8 years ago
Yes, the cost price must be 100, let me clarify.
Profit % =320 ,how the profit is 320 because,
Profit % =profit *100/ CP ----(1).
, if CP is 100,
equation (1) becomes,
320=profit *100/100 and
then 320 = profit so the given answers is correct.
Profit % =320 ,how the profit is 320 because,
Profit % =profit *100/ CP ----(1).
, if CP is 100,
equation (1) becomes,
320=profit *100/100 and
then 320 = profit so the given answers is correct.
Raju said:
6 years ago
Profit = 320%of Cp.
Profit = 320/100 *cp.
Profit/cp = 320/100.
Profit = SP-CP.
320 = Sp-100.
Sp = 420.
CP is increase by 25% = 100+25 = 125.
New Cp = 125.
Profit = Sp-Cp.
P = 420-125 = 295.
Since it is ask for Sp,
P% = 295/420*100 = 70%.
Profit = 320/100 *cp.
Profit/cp = 320/100.
Profit = SP-CP.
320 = Sp-100.
Sp = 420.
CP is increase by 25% = 100+25 = 125.
New Cp = 125.
Profit = Sp-Cp.
P = 420-125 = 295.
Since it is ask for Sp,
P% = 295/420*100 = 70%.
(4)
Habib said:
1 decade ago
Maths & Physics are completely based on assumption based foundations....even in this example no data about CP is given...so we have no choice just assume a simplified value (eg 100 or 1) and base your calculations upon that !!!!
Anjali K said:
7 years ago
@ALL.
According to me, the solution is;
p = (320/100)*cp----> from 1st sentence.
p = 3.2cp.
sp = 3.2cp+cp(form p=sp-cp).
sp = 4.2cp.
New cp:
cp = cp+(25% of cp).
cp = cp+2.5cp = 3.5cp.
p = sp-cp=.4.2cp-3.5cp ===>0.7cp = 70%.
According to me, the solution is;
p = (320/100)*cp----> from 1st sentence.
p = 3.2cp.
sp = 3.2cp+cp(form p=sp-cp).
sp = 4.2cp.
New cp:
cp = cp+(25% of cp).
cp = cp+2.5cp = 3.5cp.
p = sp-cp=.4.2cp-3.5cp ===>0.7cp = 70%.
Nitesh said:
1 decade ago
Let CP=1000
profit=320%
But profit = SP-CP;
320 = SP-1000
SP=1320;
Now given that CP is increased by 25 %
then CP becomes 1250 and SP is constant
hence
Profit = SP- CP
profit = 1320-1250=70
therefore answer is 70
profit=320%
But profit = SP-CP;
320 = SP-1000
SP=1320;
Now given that CP is increased by 25 %
then CP becomes 1250 and SP is constant
hence
Profit = SP- CP
profit = 1320-1250=70
therefore answer is 70
(2)
Dinu said:
1 decade ago
@Mohana.
They have given profit%=320%. So to calculate profit we use the formula profit%= (profit*100) /C.P.
If you assume C.P=100 then always the profit% = profit for this simplicity we always assume C.P=100.
They have given profit%=320%. So to calculate profit we use the formula profit%= (profit*100) /C.P.
If you assume C.P=100 then always the profit% = profit for this simplicity we always assume C.P=100.
Sathish said:
1 decade ago
Simple, Assume Cost = 100 Profit gained is 320%.
So SP = 320+100 = 420.
Now CP increase by 25, New CP = 125.
Gain now = 420-125 = 295.
Gain % with respect to SP (as per question) = 295/420 x 100 = 70%.
So SP = 320+100 = 420.
Now CP increase by 25, New CP = 125.
Gain now = 420-125 = 295.
Gain % with respect to SP (as per question) = 295/420 x 100 = 70%.
Hasan said:
1 decade ago
Very nice @Malini!
I got you in the question it is mentioned clearly that what percentage of the selling price is the profit?
But from childhood we have been studying that profit could only on C.P.
I got you in the question it is mentioned clearly that what percentage of the selling price is the profit?
But from childhood we have been studying that profit could only on C.P.
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)
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