Aptitude - Profit and Loss - Discussion

Can anyone explain me what formula used and how get 122.5?

@Ragav.

Basic formula is cost + profit = selling price.

Here we assume cost is 100. given profit is 22.5%.
CP + P= SP Which means 100 + 22.5 = 122.5.
So, we get SP 122.5 which is 392.
122.5 = 392
22.5 = x

Just cross multiply it you'll get the answer.

(1000/122.5)*392= 320.

Please, explain this.

CP = RS 100.
PROFFIT = 22.5.
SP= 122.5.
GIVEN SP = Rs 392.
So PROFIT = 22.5/122.5*392 =72.

SP=CP+GAIN.

CP+(22.5/100)*CP=392
So, CP=320 & PROFIT=392-320=72.
Hope you get it. Thanks.

Thank you so much, well explained @Preitee Ranjan.

P=392-x.
%=p/cp*100.
22.5=(392-x)/x*100.
22.5x=392-x*100,
22.5x=39200-100x,
22.5x+100x=39200,
122.5x=39200,
x=39200/122.5,
x=392000/1225,
x=320-->cp.

P=392-x,
P=392-320,
P=72 Rs.

@Jyothi.

Thank you.

Thank you all for explaining it.

In this question we have to find profit value,

We all know that profit =SP - CP.

Here s. P=Rs.392(which is given in the question)
Now we have to find c. P value then only we will get the profit value
By using this formula C. P=100/100+gain %*s.p(given in important formulas)
Then c. P=100/100+22.5*392(here gain% and s. P values are given in the question)
C.p=100/122.5*392

By simplifying this we will get CP value,
Therefore c. P=Rs. 320,
Now substitute the SP and CP values in profit formula.
Profit = SP- CP.
Profit =Rs. (392-320),
Profit =Rs. 72.