Aptitude - Profit and Loss - Discussion

Let,

The
Cost Price = x.
Selling Price = 2x.

The formula is; (SP-CP)/CP * 100.

(2x-x)/x * 100 = 100% (Ans).

Observe that there are two cases given in this question.

We know that for solving two variables we need at least two relations.

Here,
Case 1.
CP is x.
SP is y.
So, the gain is y-x.

Case 2.
CP is x
SP is 2y (sp is doubled)
So, the gain is 2y-x (according to question this quantity is 3 times the gain in Case 1).

On solving case 1 and 2 according to the question.
3(y-x)=2y-x.
Or y=2x.

Now, it is observable that they are asking the gain% of case 1 (case 2 is only given for finding a relation between x and y).

So the gain per cent (of case 1) will be;
Gain% = (gain/cp)*100.
= {(y-x)/x}*100,
= {(2x-x)/x}*100.

Gain% = (x/x)*100.
Gain% = 100%.

I hope you notice that the question asks for gain% for case 1.

Thank you

Let S.P - x, C.P-Y.

Given,
2 S.P = 3 P.
2 x = 3( X - Y),
From here find C.P i.e,
Y = X/3.

Now find profit P=X-Y.
=X - X/3. (Bcz, Y=X/3),
= X/3.

Now use P% formula.

P% = P/C.P * 100.
= X/3/X/3 *100,
= 100%.

Why it is 2(y-x) instead of 2y as selling price doubles?

We take selling price as -x and cost price- y we assume this! Then given sp is doubled so the profit will be s.p - c. P = 2X-Y.

Also, profit becomes tripled means 3* (x-y).

Therefore equatting 2x-y = 3(x-y) , we get x=2y or y=x/2! Now We know profit = (gain*100)/C P.

Gain is x-y we got y=2y substituting here we get gain= 2y-y=y therefore profit=y*100/y=100.

Dear sir,

Here,if cp=x, sp=y.

Then according to question profit will be;
Profit =(y-x),
Here, 3(y-x)=2y-x,
Profit triple =3(y-x) it is clear,
But,selling price doubled then it should be;
S.P doubled =2y.

Then how come 2y-x?
I could not get it. Please tell me.

Let's, c.p = x;
so, s.p = 2x;
profit = s.p - c.p.
So profit = 2x - x =x;
Profit % = (profit/ c.p )* 100 => (x / x) * 100.
So, profit % is 100.

Let c.p =100 rs , then s.p=200,
Profit = 200-100=100.
%profit = 100*100/100=100%,
Profit becmes three times i.e 100 * 3 = 300.

Its so easy to solve the problem:

Firstly,we assume the C.P be x Rs. ( i.e c.p = x Rs )
That mean S.P is doubled of c.p i.e 2x Rs. ( i.e s.p = 2x Rs )
Then profit = s.p - c.p.
= 2x -x.
profit = x rs.

Then, profit % = (profit * 100 /c.p).
= (x *100 / x),
profit% = 100 rs.

I think the simplest solution is this.

As we know (Profit %) = (S.P - C.P) * 100 / C.P ---> EQUATION 1

In question say S.P is doubled & Profit is Tripled(not Profit %)

So Assume C.P= C S.P= S Profit = P.

As we know Profit = S.P - C.P.
So P = S - C ---> Eqn.1
As given Sale price is doubled & Profit is Tripled
So 3P=2S-C ---> Eqn.2

By solving this both Eqn. we get S=2C Means SP=2CP.

Put this value in starting Equation 1 you'll get 100% as answer.