Aptitude - Profit and Loss - Discussion

I am explaining the question in accordance with CP=x and SP=y.

The real confusion in this question is that in the statement they have said "selling price is doubled", which means the equation should be 2y = 3(y-x).

But this is wrong, because on left side we are taking only NEW SP but the right side the equation is in terms of Profit.
Remember they have given the relation if SP and Profit in proportionality and NOT EQUAL.

But, we have to make an equation in terms of profit on both sides. So, to get the new Profit, the SP is doubled and the original CP is subtracted from the same i.e. 2y and then subtract the CP from it which gives the equation as : (2y-x) .

I hope the rest is clear to all .. the same is very well explained by @atul

Thank you.

gain=s.p-c.p.
let the c.p be 'x' and s.p be 'y'.
profit is=(y-x)
condntn is if s.p is doubled then only profit will be tripled.

3*profit=(s.p-c.p)
3(y-x)=(2y-x)
y=2x;

Cost price x , selling price y, profit (y-x).

If selling price is doubled =2y , then new profit will be (2y-x)
which 3 times the original profit i.e. (y-x)
there fore new profit (2y-x)= 3x old profit (x-y)
That is (2y-x)=3(x-y).

@Balaji well done.

Profit = s.p - c.p ---(1)
3(profit)=2s.p - c.p ---(2)
-----------------------
solving equ 1 nd 2... we get

s.p = 2(profit) ---- (3)

substitute equ (3) in equ (1)... we get
c.p = profit ---- (4)

using (3) nd (4) if c.p=1 then s.p=2 and profit=1
hence, profit% = (profit/c.p)*100 = 100%

LET C.P= 10
S.P= 20
SO, PROFIT= (20-10)I.E (SP-CP)

ACC TO THE QUES,

IF S.P DOUBLES I.E 2(20) THEN

PROFIT TRIPLES I.E 3(20-10).

SO, PROFIT PERCNT= (PROFIT/CP)*100

= {3(20-10)/10}*100
= 300%.

Help. Please give me an another way to solve the problem.

3(y - x)=(2y - x)
This step is not clear for me.

Alternate method:

S.P = C.P + PROFIT.............(1)
2*S.P = C.P + 3*PROFIT...........(2)

eq(2) - eq(1)

S.P = 2* PROFIT

SUBST S.P IN (1), WE GET

2* PROFIT = C.P + PROFIT

therefore, PROFIT = C.P

PROFIT % = (PROFIT / C.P) * 100

FINALLY, PROFIT % = 100%

Still I m unable to understand this problem please help me out.

Balaji explained well thank you very much.