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 4 of 15.

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%.
(15)

Aakash Parmar said:   6 years ago
Suppose C.P = 100 R.S.

Profit = 320 % so profit in R.S= 100*320% = 320 R.S . So S.P = 420 R.S.
now C.P increase 25% so now CP = 125 R.S.
S.P remain 420 R.S.
Profit %= (420-125)/125*100 = 236%.

Ram said:   1 decade ago
If question asking to Profit % on SP then Formula should be used -
Gain % = profit*100/SP.

If question asking to Profit % on CP then Formula should be used -
Gain % = profit*100/CP.

Sundar said:   2 decades ago
Hi Vinoth,

Please read the question very carefully.

What percentage of the selling price is the profit?

That's why here SP is substituted.

Have a nice day!
(1)

Payal sharma said:   1 decade ago
I understood everything but. Why you have taken S.P instead of C.P in the formula of profit percentage. And if its a theorem or formula so exactly where-2 we need to use this method.

USMAN said:   1 decade ago
New C.P. = 125% of Rs. 100 = Rs. 125.

New S.P. = Rs. 420.

Profit = Rs. (420-125) = Rs. 295.

Required percentage = 295x 100% = 1475% = 70% (approximately).

This step 1 didn't get.

Anurag said:   1 decade ago
@payal its not the profit percentage formula.

The required percentage asked is "what percentage of selling price is the profit".

So, (profit/S. P) *100 is the required percentage.

Sujith shetty said:   1 decade ago
Just assume cost of price is 100 then profit is 320 so total cost of product is 320+100=420 if cost increases 25% i.e 125 then profit decreases 420-125=295(profit) 295/420*100=70%

Asit said:   1 decade ago
@kishan chand your thought is absolutely correct, but the question is about percentage of only selling price, you are calculate it from the cost price. Now you understand or not?

Sakharam said:   10 years ago
In solution see Initially CP is 100 and SP is 420, so Profit is 320%.

Now CP is 125 and SP is 420, so Profit should be 420 - 125 = 295 means 236% should be the correct answer.


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