Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 3)
3.
If selling price is doubled, the profit triples. Find the profit percent.
66 2
3
100
105 1
3
120
Answer: Option
Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x)    y = 2x.

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

Profit % = x x 100 % = 100%
x

Video Explanation: https://youtu.be/dPzF10mGsWE

Discussion:
303 comments Page 29 of 31.

Karthic.v said:   1 decade ago
Help. Please give me an another way to solve the problem.

M.V.KRISHNA said:   1 decade ago
3(y - x)=(2y - x)
This step is not clear for me.

Alternate method:

S.P = C.P + PROFIT.............(1)
2*S.P = C.P + 3*PROFIT...........(2)

eq(2) - eq(1)

S.P = 2* PROFIT

SUBST S.P IN (1), WE GET

2* PROFIT = C.P + PROFIT

therefore, PROFIT = C.P

PROFIT % = (PROFIT / C.P) * 100

FINALLY, PROFIT % = 100%

Kiran said:   1 decade ago
Still I m unable to understand this problem please help me out.

PRASAD said:   1 decade ago
Balaji explained well thank you very much.

Aakash kathunia said:   1 decade ago
I am also not able to understand how you substract x from 2y.. please explain... plz

DaniA said:   1 decade ago
3(y - x) = (2y - x) In this eqn how you subtract x from 2y?

I can not undestand pls explain.

Satish said:   1 decade ago
profit per= ((s.p-c.p)/c.p)*100
c.p=x
s.p=2x
profit per = ((2x-x)/x)*100
=100
simple

Rajendra said:   1 decade ago
Let SP= 10 Rs.

If it is doubled den SP =20rs,

So profit will be 10 Rs nothing but 100% profit.

Balaji said:   1 decade ago
First of all, in the problem they had given that if selling price doubles, profit will be tribled.

Actually we have the formulae that
profit = selling price - cost price

Let the selling price be y and cost price be x

From formulae above profit= s.p.-c.p.

Profit= y-x___________(1)

From the data given, if selling price doubles, profit will be tribled. so that

From(1), we can write

profit=y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x

3(y-x) = 2y-x
y=2x
profit from (1)
profit=2x-x
= x

Then we have to calcute profit percentage, so we have formulae for profit percentage
Profit%= (profit/cost price)*100
= (x/x)*100

Profit% =100%.

Dinesh said:   1 decade ago
If we assume current SP to be Rs.100/- and then profit as x. Then,
SP Profit
100 x
200 3x

Therefore, 300x+200x=600x
Therefore, x=100. I guess this is an easier approach.


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