Aptitude - Profit and Loss - Discussion

Cp = x, sp = 2x, profit = 3x.

Profit = sp - cp.
= 3x - 2x = x.

Profit % = profit/cp * 100.
= x/x * 100,
= 100%.

P = sp -cp
2x -x = x.
P% = x/x * 100%
100%.

profit = sp - cp.
2x - x = x.
p% = x/x * 100%.
= 100%.

First of all, in the problem, they had given that if selling price doubles, profit will be tripled.

Actually, we have the formulae that profit = selling price - cost price

Let the selling price be y and cost price be x.

From formulae above profit= s.p.-c.p.

Profit= y-x___________(1)

From the data given, if selling price doubles, profit will be tripled. so that
From(1), we can write

Profit=y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x.

3(y-x) = 2y-x.
y = 2x.
profit from (1)
profit =2x-x,
= x.

Then we have to calculate profit percentage, so we have formulae for profit percentage
Profit%= (profit/cost price)*100.
= (x/x)*100.
Profit% =100%.

P = S.P-C.P...............1
3P = 2S.P-C.P...........2

BY SOLVING 1 AND 2 WE GET.
S.P=2 C.P..........3.

WE KNOW (P=S.P-C.P)...PUT 3 IN THIS;
WE GET,
P=C.P........4.

PUT 4 IN FORMULA OF P%.
we GET P%=C.PX100/C.P.
P% = 100.
VERY SIMPLE.

LET,
C.P= 100.
PROFIT= x.
THEREFORE , S.P =100 + x.

AS PER THE QUESTION,
2 * S.P- C.P = 3 * PROFIT.
2(100+x)-100 = 3x
or, 200+2x-100 = 3x.
or, x = 100.

Very short method.

Let CP = x
Sp is double = 2x
Gain=sp-cp = x
Gain = (100 * gain/CP),
= (100 * x/x),
= 100.

@Mohd Murtaza.

Triple profit is missing in your explanation.

Profit = sp-cp......1.
New sp = 2sp(given)
New profit = 3profit(given)
New profit =new sp - cp.
i.e 3profit= 2sp-cp.......2
2 divided by 1.
3=(2sp-cp)/(sp - cp).

After simplification we get sp= 2cp.
Substitute this in profit equation.
Profit = 2cp - cp.
=> profit = cp.
%profit= (profit/cp) * 100.
=>(cp/cp) * 100.
Hence 100%.

I can't understand. Why we are substituting 3(y-x) = (2y-x)?