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:
306 comments Page 30 of 31.

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.

Divyesh said:   1 decade ago
Let s.p. = y and c.p. = x
now current profit is (y-x)
and the profit when the s.p. is doubled is (2y-x)
now according to the equation
(2y-x)/3 = (y-x) bcaz new profit is thrice a current profit
solving equation we get y=2x
when s.p. is doubled as c.p.
so profit = (y-x)/x * 100 = (2x-x)/x * 100 = 100%

Vinod said:   1 decade ago
= S.P - C.P = PROFIT/100%

= 2X- 3X =1X/100%

= X = 1/100
=100%.

Raj said:   1 decade ago
Let c.p=x
s.p=2x

Profit = s.p - c.p
Profit = 2x - x = x
Profit % = x*100/x = 100%
(1)

Rajeshkavi said:   1 decade ago
Hi, I dont able to understand this question 1.If selling price is doubled, the profit triples. Find the profit percent.but you gave solution like this


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
please explain clearly

Saleem said:   1 decade ago
Assume s.p=20, profit=10

Then, s.p double=20+20=40
Profit triple=10+10=20+20=40

So 100%.

Sandhya said:   1 decade ago
Please give me clear answer, I don't understand how (2y-x)come ?

Sridhar said:   1 decade ago
Chetan answer is right, check answer of Sangeetha


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