Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 14)
14.
A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
Answer: Option
Explanation:
| C.P. of 1st transistor = Rs. |  |
100 | x 840 |  |
= Rs. 700. |
| 120 |
| C.P. of 2nd transistor = Rs. | |
100 | x 960 | |
= Rs. 1000 |
| 96 |
So, total C.P. = Rs. (700 + 1000) = Rs. 1700.
Total S.P. = Rs. (840 + 960) = Rs. 1800.
 Gain % = |
|
100 | x 100 | % |
= 5 | 15 | % |
| 1700 | 17 |
Discussion:
41 comments Page 4 of 5.
Madhav Kakkar said:
1 decade ago
Does anybody know another shortcut it's time consuming method?
Aastha said:
1 decade ago
How did this 120 come ?
Preet said:
1 decade ago
Please give a shortcut of this question.
Gargi das said:
1 decade ago
This is nothing but cross multiplication @Haritha, see:
In 100 Rs gain is 120.
In 840 Rs gain is 120*840/100.
This process is same for loss also.
In 100 Rs gain is 120.
In 840 Rs gain is 120*840/100.
This process is same for loss also.
Kiruthi said:
1 decade ago
120% C.P 1 = S.P 1 = Rs. 840 (120% = 100% + 20% profit).
C.P 1 = 840*100/120 = Rs. 700 (120% = 120/100).
96% C.P 2 = S.P 2 =Rs. 960 (96% = 100% - 4% loss).
C.P 2 = 960*100/96 = Rs. 1000 (96% = 96/100).
Total C.P = 700+1000 = 1700.
Total S.P = 840+960 = 1800.
Total profit = Total S.P-Total C.P = 1800-1700 = 100.
Gain % = (Profit/C.P)*100 = (100/1700)*100 = 100/17 = Answer.
C.P 1 = 840*100/120 = Rs. 700 (120% = 120/100).
96% C.P 2 = S.P 2 =Rs. 960 (96% = 100% - 4% loss).
C.P 2 = 960*100/96 = Rs. 1000 (96% = 96/100).
Total C.P = 700+1000 = 1700.
Total S.P = 840+960 = 1800.
Total profit = Total S.P-Total C.P = 1800-1700 = 100.
Gain % = (Profit/C.P)*100 = (100/1700)*100 = 100/17 = Answer.
Kiruhti said:
1 decade ago
120%C.P1 = S.P1 = 840 (120% = 100% + 20% profit).
C.P1 = 840*100/120 = 700 (120% = 120/100).
96% C.P2 = S.P2 = 960(96% = 100% - 4% loss).
C.P2 = 960*100/96 = 1000(96% = 96/100).
Total C.P = 700+1000 = 1700.
Total S.P = 840+960 = 1800.
Total profit = 1800-1700 = 100.
% Gain = (Total profit/Total C.P)*100.
= (100/1700)*100 = 100/17 = Answer B.
C.P1 = 840*100/120 = 700 (120% = 120/100).
96% C.P2 = S.P2 = 960(96% = 100% - 4% loss).
C.P2 = 960*100/96 = 1000(96% = 96/100).
Total C.P = 700+1000 = 1700.
Total S.P = 840+960 = 1800.
Total profit = 1800-1700 = 100.
% Gain = (Total profit/Total C.P)*100.
= (100/1700)*100 = 100/17 = Answer B.
Saba said:
10 years ago
I have problem in C.P, please guide me.
S.P1 = 840.
Gain = 20/100*840 = 168.
C.P1 = 840 -168 = 672.
Now S.P2 = 960.
Loss = 4/100*960 = 38.4.
C.P2 = Loss+S.P.
= 38.4+960 = 998.4.
Total C.P = 998.4+672 = 1670.4.
Total S.P = 1800.
S.P1 = 840.
Gain = 20/100*840 = 168.
C.P1 = 840 -168 = 672.
Now S.P2 = 960.
Loss = 4/100*960 = 38.4.
C.P2 = Loss+S.P.
= 38.4+960 = 998.4.
Total C.P = 998.4+672 = 1670.4.
Total S.P = 1800.
Saba said:
10 years ago
S.P1 = 840.
Gain of 20% = 20/100*840 = 168.
Since C.P = S.P - Gain.
C.P1 = 840-168 = 672.
So why above C.P 700?
E.g: If S.P = 10.
Gain% = 50%.
C.P ?
Then gain = 50% of 10 = 50/100*10 = 5. For C.P, since C.P = S.P - Gain.
= 10 - 5.
C. P = 5.
Gain of 20% = 20/100*840 = 168.
Since C.P = S.P - Gain.
C.P1 = 840-168 = 672.
So why above C.P 700?
E.g: If S.P = 10.
Gain% = 50%.
C.P ?
Then gain = 50% of 10 = 50/100*10 = 5. For C.P, since C.P = S.P - Gain.
= 10 - 5.
C. P = 5.
Saba said:
10 years ago
Can some one tell me, why not these?
S.P 1 = 840.
Gain of 20% of 840 = 20/100*840 = 168.
Then C.P1 = S.P-Gain.
= 840-168 = 672.
S.P 1 = 840.
Gain of 20% of 840 = 20/100*840 = 168.
Then C.P1 = S.P-Gain.
= 840-168 = 672.
Sainik said:
10 years ago
Remember if C.P is 100 then S.P is 120 (If 20% gain, if 4% loss then C.P is 100 S.P is 96).
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