Aptitude - Profit and Loss - Discussion

Profit = C.P - S.P.
Example : C.P = X.

If selling price is doubled So S.P = 2X.

= X-2X = X.
C.P = X, S.P = X.

Profit Percentage = gain x 100 / C.P.

= X x 100 / X = 100%.

Hey guys. We can also do like that.

Let the S.P = 100.

Then according to the question.

PROFIT = SP - CP that is,

300 = 200 - x.

x = 100.

Simple one.

Let C.P = 100.

Than S.P = 2X100 = 200.

and,

Profit = (SP-CP) = 200-100.

Profit = 100.

Now Profit% = 100X100/100 = 100% Ans, Option (B).

If selling price is doubled, the profit triples. Find the profit percent.
Solve:

Here Take it as Ratio method.

Consider to 3:2.

Her Profit = 3.
Selling Price = 2.

3-2 = 1.
1 * 100 = 100.

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.