Aptitude - Profit and Loss - Discussion

Given that,

S.P = 2*C.P______ (1).

Profit = 3*C.P___ (2).

We know that profit = S.P-C.P [Formula 4 profit].

=> profit = 2*C.P-C.P = C.P___ (3) [From 1st S.P = 2*C.P].

Profit% = Profit/C.P*100 [Formula 4 profit%].

= C.P/C.P*100 = 100.

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%.

@Pooja.

Thanks. this simple why other persons going round? If profit is tripled & S.P is doubled then what is the gain percentage?

As @Pooja explain,

G% = 100 (S.P-C.P)/C.P.

W\c is 100 (2x-x)/x.

Since S.P or y = 2x and C.P = x. So G% = 100%.

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.

2 S.P = 3 Profit.

2 S.P = 3 S.P - 3 C.P.

S.P = 3 C.P.

Assume C.P Rs. 1.

Profit = 2*100/1.

i.e 200.

Please tel me where I went wrong.

Here 2y-x means profit i.e.: S.P - C.P.

If selling price doubled we can use only 2y?

Why all are used 2y-x?

C.P = 100.

S.P = 200.

P = S.P-C.P.

= 200-100.

P = 100.

P% = P/C.P.*100%.

= 100/100*100% = 100%.

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?