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 13 of 31.

PINAKI CHATTERJEE said:   1 decade ago
Let cost price is = C
AND selling price = S
SO profit is (S-C)
IF SELLING PRICE IS 2*S THEN PROFIT IS (2S - C)
NOW,3(S-C)=(2S-C),3S-C=2S-C,S=2C
PROFIT=2C-C=C , % OF PROFIT =C/C X 100= 100 %

Sapah said:   1 decade ago
Let 100rs be the sales cost (cp + profit).

By selling it for 200rs profit triples (cp + 3*profit).

200-100 = 2*profit.

Profit = 50.

Therefore cp = 50.

Profit % = (sales-cp)/cp% = 1000.

Priyanshe said:   10 years ago
Suppose C.P is 100.

And in the question given S.P is doubled means S.P is 200.

And Profit is triples i.e. 300.

So, the formula is %profit = S.P-C.P/C.P*100.

= 200-100/100*100 = 100.

Sunil kumar rai said:   1 decade ago
We know that SP = CP + profit........1.
Now given 2 SP = CP + 3 profit........2.

ON solving these equation we get that,
S.P = 2 profit.

Now in equation SP-CP/CP*100.
Answer is 100%.

Ravi Sharma said:   1 decade ago
SP = x;
CP = y;
p = (x-y) * 100 / y;
SP' = 2x;
P' = 3*P;

=> (2x-y) * 100 / y = 3 * (x-y) * 100 / y;
=> x = 2 * y;
=> SP = 2 * CP;
=> P = 100%;
=> Profit Percent = 100%.

Suganya Dinesh said:   10 years ago
Don't confuse with X & Y.

Simple method is:

SP is doubled so 200. Profit is triples so 300. Hence CP is surely be 100.

Then work out formula:

Gain = SP - CP ; 200 - 100 = 100%.

Manisha singh said:   9 years ago
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%.

Elvina said:   4 years ago
profit1 = sp-cp.
profit2 = 2sp-cp.
profit2 = 3times profit1,
2sp-cp = 3(sp-cp),
sp = 2cp.

Therefore profit % = (sp-cp)100/cp = (2cp-cp)100/cp,
cp will get cancelled,
profit% = 100.

Kalyani said:   5 months ago
s.p = x.
c.p = y.
p = s.p - c.p =>x - y.
s.p is doubled = 2x.
p =2x-y.
profit is tripled 3(x-y) = p.
3(x-y) = 2x-y.
3x-3y = 2x-y.
x = 2y.
p= 2y-y => y.
p% = y/y *100 =>100%.
(27)

Shridhar said:   1 decade ago
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%.


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