Aptitude - Profit and Loss - Discussion

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.

INITIALLY,

C.P. = y.
S.P. = x.

Profit =x-y.

AFTER DOUBLING THE PRICE,

C.P. = y.
S.P. = 2x.
Profit = 2y - x.

According to the condition profit becomes three times of initial value. So,

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