Aptitude - Profit and Loss - Discussion

Some people are confused by this question because they are confused to calculate profit after doubling selling price or before doubling selling price. Many people had given about general logic. Now it tell in short cut manner by taking value.

Consider C.P = 100, S.P = 200 then double S.P = 400.

Earlier profit is 100 and after doubling we get 300 which is tripled of profit earlier.

Now they asked us to find profit % question is not clear about finding profit but options makes it clear about finding the answer i.e. if you see earlier profit % it is 100% but after doubling selling price it is 300%.

So by seeing options we can say that 100% is the correct answer since 300% is not given. This type of questions will be cleared by options.

How to put in fraction?

In this problem clearly mentioned the selling price is doubled & profit is tripled.

Let C.P = 1 than S.P = 2.

Profit = (S.P)-(C.P).

=2-1 = 1.

Profit% = 1*100 = 100%.

Let cost price = x and selling price = y.

Then, in question they saying that the selling price is double a and profit triple that means.

First condition here our selling price is y then according to question will be 2y.

Second condition and again they are saying that our profit is triple and our profit is x-y i.e. cp-sp = profit.

Then according to question here our profit = 3(y-x).

Then according to first condition we will get:

Profit = (2y-x) ----- (1).

And according to second condition will get:

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

By using equation (1) and equation (2) we will get:

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

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

After solving this equation we will get 100% profit.

Thanks friends and good luck. And according to second condition we will get.

They have said that if SP is doubled Profit becomes 3 times.

Let CP = X, & SP = Y.

As per the condition 2Y = 3(Y-X) ----------- (1).

Therefore, SP-CP = Profit.

2Y-CP = 3(Y-X).

CP = 3X-Y.

Put this in formula.

[2Y-3(Y-X)/3X-Y]*100.

3X-Y.
----- *100.
3X-Y.

= 100%.

You should calculate % profit after the price is doubled and the profit tripled.

Very simple and easy approach.

Let SP =10.

And profit be X. So CP = 10-X equation 1.

Now SP doubles means it became 20. And profit triples means it become 3X.

So now CP = 20-3X equation 2.

Now equate equation 1 and 2.

10-X = 20-3X.

X = 5 means it is profit.

Now with X we can calculation CP by any one equation.

Then profit percent = P*100/CP.

5/5*100 = 100%.

It is the easiest way to solve.

Its very simple.

C.P = x.

S.P = 2y.

Profit =3x.

3x.

(2y-x).

But 2y = S.P = C.P + Profit = x + 3x.

Now + we will solve + 3x.

------- * 100.

x+3x-x.

Left hand portion will cut all and remain 100.

Ya its hard but not that much only use + logic + hope + so you will get this.

Here we suppose.

CP = x.

Then SP = 2x (According to the Question. ).

Then Profit = SP - CP.

Profit = 2x-x.
Profit = x.

And Profit% = x*100/x.
Profit% = 100% Answer.

Suppose the cost is 10 and the selling price is 15 then the profit is 5 after all the selling price being double means 30 the profit being triple means 5+5+5=15. So our selling price is 15 or our profit is also 15 then the profit is 100 percent.