Aptitude - Profit and Loss - Discussion

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Here we note two points.

1. If we buy the things in " x " and selling in " y " the profit " p = y - x " .............(1).

2. If we buy the things in " x " and selling in " 2y " the profit triples (3p), So,

Profit = S.P - C.P.
3p = 2y - x ..............(2).

(1) implies (2),

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

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.

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

Profit =200 -100 = 100.

Profit % = 100 * 100/100.
= 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.

CP = x,
SP = 2x,

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

Profit = x.

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

= (x/x)*100.

=100%.

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

Don't take x, y. Simply assume let COST PRICE = C.P,SELLING PRICE = S.P.

STEP-1:

According to question profit tripled,
i.e 3*PROFIT, and we can write profit = S.P - C.P.
So it becomes, 3*(S.P-C.P) --- equation 1.

STEP-2:

Also its given S.P is doubled i.e 2*S.P.
According to us profit should be,
Profit = S.P - C.P (Formula)
= 2*S.P - C.P ---- equation 2.

STEP-3:

Compare both equations because both shows profit,
3*(S.P-C.P) = 2*S.P-C.P.
3S.P-3C.P = 2S.P-C.P.

Now taking S.P one side and C.P another,
3S.P-2S.P = 3C.P-C.P.
S.P = 2C.P.

STEP-4:

Profit = S.P - C.P (formula).
= 2C.P - C.P.
Profit = C.P.

Using above in formula now,

Profit% = profit/cp*100.
= C.P/C.P*100.
= 100%.

Formula's used:

1) Profit = SP-CP.

2) Profit % = Profit/CP *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.

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%.