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.
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.
Ruhi said:
5 years ago
X is cp and y is sp.
Here we are equating profits,
Profit means sp-cp,
Triple the profit means 3(y-x) (y-x) means profit,
Double the sp. Here we know y is sp in terms of profit,
2y-x,
So 3(y-x)=2y-x.
Solving we get y=2x means 2times of cp is one time of sp. So one time of cp is profit.
Profit%= profit/cp*100.
So profit%= one time of cp is profit I.e x and cp x.
Hence profit%= x/x*100=100%.
Here we are equating profits,
Profit means sp-cp,
Triple the profit means 3(y-x) (y-x) means profit,
Double the sp. Here we know y is sp in terms of profit,
2y-x,
So 3(y-x)=2y-x.
Solving we get y=2x means 2times of cp is one time of sp. So one time of cp is profit.
Profit%= profit/cp*100.
So profit%= one time of cp is profit I.e x and cp x.
Hence profit%= x/x*100=100%.
Aviral Tiwari said:
5 years ago
I can't understand that it is saying if the selling price is doubled then the profit triples which means 2y=3 (y-x). Please suggest to me.
Premjit said:
5 years ago
Simple, As we know;
P=Sp-Cp.
So,
3x=2X-Cp,
Cp=x,
So now SP=x.
Cp=x.
So p= x.
We know P/CPx100.
So the answer will be 100 %.
P=Sp-Cp.
So,
3x=2X-Cp,
Cp=x,
So now SP=x.
Cp=x.
So p= x.
We know P/CPx100.
So the answer will be 100 %.
Max said:
5 years ago
Let the selling price be SP.
Cost price be CP and profit be P.
As P=SP-CP.
For given condition, 3P= 2SP-CP
3 (SP-CP)=2SP-CP
SP=2CP
Profit% = (SP-CP) * 100/CP
=100%.
Cost price be CP and profit be P.
As P=SP-CP.
For given condition, 3P= 2SP-CP
3 (SP-CP)=2SP-CP
SP=2CP
Profit% = (SP-CP) * 100/CP
=100%.
Gurleen said:
5 years ago
Profit = SP - CP.
As per the statement, 3Profit=2SP-CP.
Subtract both, we get 2Profit=SP or Profit=SP/2,
Similarly, we get CP=SP/2,
Gain%=(profit/gain)*100.
Put above values here:
Gain%= ((SP/2)/(SP/2))*100,
= 100.
As per the statement, 3Profit=2SP-CP.
Subtract both, we get 2Profit=SP or Profit=SP/2,
Similarly, we get CP=SP/2,
Gain%=(profit/gain)*100.
Put above values here:
Gain%= ((SP/2)/(SP/2))*100,
= 100.
Lavanya said:
5 years ago
Let CP be 100. Selling price is doubled so gain/ profit value= 100 Rs.
Gain%= (gain/ 100)* 100.
Apply the values then, Gain%= (100/100)* 100.
Gain%= 100.
Gain%= (gain/ 100)* 100.
Apply the values then, Gain%= (100/100)* 100.
Gain%= 100.
Rupesh said:
5 years ago
assume sp=100 and profit = 100
If selling price doubles profit triples.
Sp = 100 * 2 = 200 and profit = 100 * 3 = 300.
Gain = 300 - 200 = 100.
Gain% = 100*100/100 = 100.
If selling price doubles profit triples.
Sp = 100 * 2 = 200 and profit = 100 * 3 = 300.
Gain = 300 - 200 = 100.
Gain% = 100*100/100 = 100.
Neha said:
5 years ago
I didn't understand. Can you please give me a clear explanation.
Bala said:
5 years ago
How come (2y-x)? Explain it please.
Arul said:
5 years ago
Another simple method:
Cost price = x,
Sell price = 2x,
Profit% = (sp-cp/cp) *100,
Profit% = (2x-x/x) *100,
Let x be 1.
(1/1) *100,
= 100.
Cost price = x,
Sell price = 2x,
Profit% = (sp-cp/cp) *100,
Profit% = (2x-x/x) *100,
Let x be 1.
(1/1) *100,
= 100.
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