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 2 of 15.

Malini said:   1 decade ago
Let me explain you clearly:

In most of the problems assume cp as 100 then only it will be easy.
now let us assume cp=100
profit is given 320%
we know p=sp-cp
then sp=p+cp
so sp=420

Then it is given cp is incresed by 25%
so cp=alredy assumed as 100+now increased by 25%
cp=125
sp is always constant(given in question)
so now sp=420
cp=125
p=sp-cp
=420-125
=295
p%=p/cp*100

But here it is specifically asked for sp(read the question)
so p%=p/sp*100
=295/420*100
=70%

Archana said:   1 decade ago
I had not understood the explanination. Can you please explain me it again. How can we assume cp to be 100?

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 !!!!

Dinesh said:   1 decade ago
Good explanation malini.

Khaleel said:   1 decade ago
Hi nitesh if we take cp=100 your principle not works.

Sinu said:   1 decade ago
Thanks malini.

Swimmi said:   1 decade ago
Why sp 420 is calculated when it is given that sp will remain constant?

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.

Hari haran said:   1 decade ago
What percentage of the selling price is the profit?

In maths formula is a basic, but we have to understand it in different views. Then we make it up easy. Sundar is correct.

Balavignesh said:   1 decade ago
Profit=selling price-cost price

But profit is given in percentage and i thought that as profit percentage.

But we use it like profit i.e. Rs.320. How is this possible?


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