Aptitude - Profit and Loss - Discussion

3(y - x) = (2y - x) y = 2x.

Up to this equation, it is fine.

But next when we calculate profit. we are using profit = y-x.

Here we take the older value of our selling price that is y.

But why don't we take the new value of our selling price that is 2y.

Like suppose originally our cp = 100, sp = 200, profit = 100.

Now cp = 100, sp = 400, profit = 300.

( that is sp double, profit triple)

So now, profit % is (sp-cp)/cp*100.

=(400-100)/100*100.

=300%.

Is it now correct or ans is 100%.

PROFIT (P) = Selling Price(S) - Cost Price(C).

Simply P = S-C -------->(1).

As per the question.

3P = 2S-C.

3(S -C ) = 2S- C -------> from EQ 1.

S = 2C --------> by Simplifying.

Now P%= ((S-C)/C ) *100.

= ((2C-C)/C)*100 = 100.

Friends,

We know p(profit)= s.p - c.p,

let s.p = y, c.p = x, hence p = y - x (profit = s.p - c.p)--------> (1)

Now according to question when sp gets doubled ie (2y) profit triples so, the formula p = s.p - c.p now becomes 3*p = 2*y - x.

Next step is substituting p = y - x in above equation we get,

3(y-x) = 2*y-x.
3y-3x = 2y-x.
or y = 2x.

Now substitute the value of y in eqn (1),

p = y-x.
p = 2x-x.
p = x.

Now Profit%=(profit/cp)*100.

i.e. Profit% =(x/x) * 100.

Profit% = 1*100.

or 100%.

We know that SP/CP=(100+G%)/100.

So as per given question.

SP1/SP2=(100+G1%)/(100+G2%).

==> SP/2SP=(100+G)/(100+3G).

==>1/2=(100+G)/(100+3G).

==>G=100.
So
Profit=100%.

Let the C.P be x and S.P be y.

Profit = S.P-C.P = y-x given question if the S.P doubles then profit will triples therefore,

3(y-x) = 2y-x.

y = 2x.

Profit = x.

Profit% = x*100/x = 100.

Profit is 100 percent.

Formula's used:

1) Profit = SP-CP.

2) Profit % = Profit/CP *100.

When selling price doubled even cost price is also doubled than how this comes SP = 2y-x ?

CP = x,
SP = 2x,

Profit = SP - CP.
= 2x-x.

Profit = x.

Profit(gain)% = (profit/CP)*100.

= (x/x)*100.

=100%.

@Ezhilarasi.M.

Its is a simple question so it's answer should also be simple.

Explanation: Let CP= 100, Profit= x.
So, SP= 100+x.

Now SP= 2 (100+x) then profit=3x.

=> 200+2x-100= profit (since- SP- CP = profit).
=> 2x+100= Profit.

=> 2x+100= 3x (since profit=3x now).
=> x=100 is the answer.

Lets have C.P =100 ; S.P =200 ; Profit = 300 (since from question).

Profit =200 -100 = 100.

Profit % = 100 * 100/100.
= 100.