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:
309 comments Page 30 of 31.
Gurleen said:
6 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:
6 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:
6 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:
6 years ago
I didn't understand. Can you please give me a clear explanation.
Bala said:
6 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.
Shekhar Saurabh said:
5 years ago
Thanks for the better explanation @Balaji.
Terry said:
5 years ago
Thanks for explaining it @Arul.
Ashwini said:
5 years ago
Why can't we assume cp as 100 here? Please explain.
KeshavKrish said:
5 years ago
Profit= SP - CP
Has per given in the question profit triples when SP doubles, hence alter the above equation accordingly
so, 3*Profit = 2SP - CP
3*(SP - CP)=2SP - CP -> since profit=sp-cp
3SP - 3CP= 2SP - CP
SP=2CP ->(1)
profit percent = (SP - CP)/CP*100 now sub (1) in this formula
=(2CP - CP)/ CP *100
=CP/CP * 100
=1*100=100%
Has per given in the question profit triples when SP doubles, hence alter the above equation accordingly
so, 3*Profit = 2SP - CP
3*(SP - CP)=2SP - CP -> since profit=sp-cp
3SP - 3CP= 2SP - CP
SP=2CP ->(1)
profit percent = (SP - CP)/CP*100 now sub (1) in this formula
=(2CP - CP)/ CP *100
=CP/CP * 100
=1*100=100%
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers