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:
147 comments Page 10 of 15.

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%.

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.

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.

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?

Sandeep singh sandhu said:   8 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.

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.

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%.
(1)

Deepak said:   8 years ago
Hello,
The % profit =(profit/cp)*100.
But here the % profit =(profit/sp)*100.
(1)

Charulatha said:   8 years ago
The profit%=(sp-cp)/cp*100.

Then how we take as profit%=(sp-cp)/sp*100.
(1)

Sushanta said:   8 years ago
I think profit is 320% of the cost then why you guys taking profit is 320 rupees. Then what rupees is cost?


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