Aptitude - Profit and Loss - Discussion

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%.

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

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

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

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

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

Your method is very easy, Thanks @Raj.

Hai,

Actually, %gain = (gain ÷ c.p) * 100.

From the above formula gain% does not depend upon s.p., it just depends upon gain only.
So in PB gain increased 3 times so the answer is 300% only.

Take an example.

Cost=10
Sale=20
Profit=10
Double the sale price

20 * 2 = 40.
Profit = 30 which is tripled.
Now find profit %.

Gain/cost * 100 = 30/10 * 100 = 300%.
Please correct me if I am wrong.

Profit = S.P - C.P.

Profit triples and S.P doubles.

3P = 2 S.P - C.P.
3 (S.P - C.P) = 2S.P - C.P.
So, S.P = 2 C.P.

Gain% = (S.P - C.P) * 100/C.P.
= ( 2 C.P - C.P) * 100/C.P.
= 100%.

P = SP - CP,
As per the question,
3P = 2SP - CP,
3P = SP +SP - CP,
3P = SP + P,
SP = 2P,
P% = 100.

Otherwise,
Sp = P + P,
SP = CP + P,
Hence CP = P,
By formula P% = (P/CP)*100
So, P%=100.

We know that profit = SP - CP.
Let SP - CP = gain
Profit = gain .....(1)

(as per the question when SP is doubled Profit is tripled )
Let increased SP = 2SP
INCREASED PROFIT = 3PROFIT
3PROFIT = 2SP - CP
3PROFIT = SP + SP - CP
From equation (1)
3profit = SP + gain ---> 2.
(1)/(2)

1/3 = gain/(gain + SP ) by inspection .
1/(1 + 2) = gain/(gain + sp).
Hence gain = 1.
SP = 2, hence CP = 1.

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