Aptitude - Profit and Loss - Discussion

Please give shortcut for this.

@Nitesh.

If I take CP = 100 I'm getting wrong answer can please help me?

Let, Cp = x & Sp = y.

According to question,

The profit is 320% of the cost,

Gain = (320/100)*x = 3.2x.
Gain = Sp-Cp.
3.2x = y-x.

x = y/4.2....(1).

If the cost increases by 25% but the selling price remains constant.

Cp = (x+x*25%).
= (x+ 0.25x).
= 1.25x.

Sp = y (because of constant).

Then, Gain = y-1.25x.

By equation (1) put the value of x in above equation.

Gain = y-1.25*(y/4.2).
Gain = y*(.70).
= 70% of y.

Thank you.

New C.P. = 125% of Rs. 100 = Rs. 125.

New S.P. = Rs. 420.

Profit = Rs. (420-125) = Rs. 295.

Required percentage = 295x 100% = 1475% = 70% (approximately).

This step 1 didn't get.

We know that.

P=S.P-C.P....(1).

Here the profit is 320% of the cost, so.

P= (320/100)*C.P....(2).

Substitute (2) in (1) instead of P.

We get (320/100)*C.P = S.P-C.P....(3).

From the equation (3) we can calculate the s. P in terms of C.P as.

S.P = (420/100)*C.P....(4).

Next we take the second condition: the cost is increased by 25%.

The new C.P is C.P+(25/100)*C.P....(5).

The equation (5) is substituted in the equation (1) instead of C.P.

We get P =S.P - (C.P+(25/100)*C.P).

P = S.P-C.P(1+(25/100))....(6).

We are calculating new profit (P) is how the percentage of the selling price (S.P).

Hence in equation (6) substitute C.P in terms of S.P.

We know the relation between s. P and c. P in equation (4) from that.

C.P = (100/420)*S.P....(7).

Substitute this c. P in to equation (6).

P=S.P-(100/420)*S.P*(1+(25/100)).

By solving we get : P = S.P (1-(125/420)) = 70% (approximately).

Can anyone explain me once again I have to look at it?

Can anyone explain me about ratio proportion?

60.90% should be the right answer for this question. SP should remain constant was mentioned at the question, so answer must be 60.90%.

Thanks.

Simple, Assume Cost = 100 Profit gained is 320%.

So SP = 320+100 = 420.

Now CP increase by 25, New CP = 125.

Gain now = 420-125 = 295.

Gain % with respect to SP (as per question) = 295/420 x 100 = 70%.

Thank you so much to every one for nice explanation. Great site to learn.

Thanks you so much every one for nice discussion.