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:
147 comments Page 6 of 15.
Vaibhav Pund said:
8 years ago
It's so simple.
Assume CP=100.
Then SP=320% of CP=(100*320)/100=320+100=420.
CP increased by 25%=100*25%=(100*25)/100=25+100=125,
Profit=SP-CP=420-125=295.
Profit %=( gain/CP)*100.
But we have to find profit% with SP.
So,
Profit %=(295/420)*100=70%.
Assume CP=100.
Then SP=320% of CP=(100*320)/100=320+100=420.
CP increased by 25%=100*25%=(100*25)/100=25+100=125,
Profit=SP-CP=420-125=295.
Profit %=( gain/CP)*100.
But we have to find profit% with SP.
So,
Profit %=(295/420)*100=70%.
(1)
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.
Sandeep singh sandhu said:
9 years ago
@Girija.
SP = 1.25CP FOR 25%PROFIT.
(SP -200) = 1.3(CP-200) FOR 25% MORE PROFIT.
SP-200 = 1.3CP-260.
60 - 1.3CP - 1.25CP.
60 = 0.05CP.
CP = 60/0.05.
CP = 6000/5.
CP = 1200.
SP = 1.25CP FOR 25%PROFIT.
(SP -200) = 1.3(CP-200) FOR 25% MORE PROFIT.
SP-200 = 1.3CP-260.
60 - 1.3CP - 1.25CP.
60 = 0.05CP.
CP = 60/0.05.
CP = 6000/5.
CP = 1200.
Girija said:
9 years ago
A Horse is sold at a profit of 25%. If both the CP and SP are Rs. 200 less, the profit will be 5% more. The cost price is?
Can you please help me to solve this?
Can you please help me to solve this?
Amrita said:
9 years ago
Let CP =100 rs.
From ques. SP = 320% of CP = 100+320 =420 rs.
Now ques says that CP is increased by 25% .it means now CP = 125 rs
But, SP remains constant.
Now Profit = 420 - 125=295 rs
From the question, we have to find out the PROFIT % at SP(420 rs.)
So P% = (295/420)*100 = 70%.
(SP-CP)/CP is not a formula actually. this is only for our comfort to find out an easier way to solve problems.
From ques. SP = 320% of CP = 100+320 =420 rs.
Now ques says that CP is increased by 25% .it means now CP = 125 rs
But, SP remains constant.
Now Profit = 420 - 125=295 rs
From the question, we have to find out the PROFIT % at SP(420 rs.)
So P% = (295/420)*100 = 70%.
(SP-CP)/CP is not a formula actually. this is only for our comfort to find out an easier way to solve problems.
Yb patil said:
9 years ago
We always assume cp =100 because loss and gain is always reckoned on cost price. That's why we assume (if not given ) cp = 100.
Ramesh said:
9 years ago
CP = 125
SP = 420
Profit = 320.
For SP is 420 we got 295 profit.
Convert it into 100(%).
(295/420) * 100 = 70%.
SP = 420
Profit = 320.
For SP is 420 we got 295 profit.
Convert it into 100(%).
(295/420) * 100 = 70%.
Houdini said:
9 years ago
How can you change the sp there is clearly written that sp remains constant?
Chirag said:
9 years ago
Hey, @Nitesh, you find here to profit not profit %, then how can you say that the answer becomes 70. Read question carefully and then go ahead.
Srinivas said:
9 years ago
We calculate the profit percentage with the help of cost price but in above problem why we are using selling price, tell me the reason.
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