Aptitude - Profit and Loss - Discussion

How to put in fraction?

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.

If selling price doubled we can use only 2y?

Why all are used 2y-x?

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

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.

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.

@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%.

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%.

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.