Aptitude - Profit and Loss - Discussion

@Tushar Vaibhav.

You explained clearly and It is easy when to compare to others.

Thanks for good explanation. Now I got it.

Apply,
SP = (100 + gain%) * cp/100.

If the cp was 50 and so was 100 for the first condition.

In the second case if the sp is doubled i.e 200 profit becomes three times i.e 150 so it comes 300%.

Can someone tell me where am I going wrong?

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.

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.

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%.

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.

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.

Your method is very easy, Thanks @Raj.