Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 3)
3.
If selling price is doubled, the profit triples. Find the profit percent.
66 2
3
100
105 1
3
120
Answer: Option
Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x)    y = 2x.

Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.

Profit % = x x 100 % = 100%
x

Video Explanation: https://youtu.be/dPzF10mGsWE

Discussion:
304 comments Page 12 of 31.

Swaathi said:   6 years ago
Please read the question carefully,

S.P. is doubled.

Profit triples.

Let C.P. = 10, S.P. =20, Profit =30.

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

= (20-10) / (10) *100.

=10/10*100.

=100%.

SOLVED.
(1)

Sunil said:   1 decade ago
Let cost price = Rs 1.

Selling price doubled i.e = Rs 2.

Profit triples i.e = Rs 3.

Gain = SP-CP.

= 2-1.

= rs 1/-.

Profit% = gain*100/CP.

= 1*100/1 = 100.

*You take any number it will be true. !

Babar said:   9 years ago
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.

Karthik said:   10 years ago
Let cp = x, sp = y.

We know profit = profit.

y-x = y-x.

If sp is doubled then according to the condition profit gets tripled.

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

y = 2x.

Then gain = 100*y-x/x = (2x-x)*100/x = 100%.

Chinmaya k said:   9 years ago
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.

Sruthima said:   9 years ago
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.

V.krishna (v.k) said:   6 years ago
Given S.P is doubled,
Let us think S.P = 100 and profit = 50.

Now S.P is doubled = 200.
C.P = 50 as C.P = S.P-Profit.
Profit = S.P - C.P.
=200 - 50.
= 150.
Profit is tripled as (50)(3) = 150.

Garv said:   9 years ago
When you are doubling the selling price then why the cost is not increased in proportion to the same. How can you keep it fixed? Kindly explain.

And the equation be 2y - 2x instead to 2y - x.

Arjun said:   1 decade ago
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.

Sangeetha K. said:   2 decades ago
Hai Ezhil,
profit = S.P -C.P
S.P = 2Y
C.P = X
PROFIT = 3(Y-X)= (2Y-X)
= 3Y-3X-2Y+X
= 1Y-2X
(i.e)Y=2X : Profit = (Y-X)(i.e) =(2x-x)=Rs.x
Profit% = C.P/profitX100= X/X*100=100%


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