Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 15)
15.
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Answer: Option
Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
 Gain = |
 |
80 | x 100 |  % = 5%. |
| 1600 |
Discussion:
37 comments Page 2 of 4.
Deepika said:
8 years ago
Thanks for explaining the answer.
(1)
Mrinal Swain said:
8 years ago
For 1st type of rice:
Cost of 1kg of rice = Rs.20.
Cost of 26kg of rice = 20 * 26 = 520.
For 2nd type of rice:
Cost of 1kg of rice = Rs 36.
Cost of 30kg of rice = 36 * 30 =1080.
Total C.P = Rs.520 + Rs.1080 = Rs 1600.
Total rice weight (in kg) = 56.
So,
Trader sold this 56kg of rice @ Rs30/kg.
Total S.P = 56 * 30 = Rs. 1680.
Hence,
Gain = 1680 - 1600 = 80.
==> Gain% = (80/1600) * 100 = 5%.
Cost of 1kg of rice = Rs.20.
Cost of 26kg of rice = 20 * 26 = 520.
For 2nd type of rice:
Cost of 1kg of rice = Rs 36.
Cost of 30kg of rice = 36 * 30 =1080.
Total C.P = Rs.520 + Rs.1080 = Rs 1600.
Total rice weight (in kg) = 56.
So,
Trader sold this 56kg of rice @ Rs30/kg.
Total S.P = 56 * 30 = Rs. 1680.
Hence,
Gain = 1680 - 1600 = 80.
==> Gain% = (80/1600) * 100 = 5%.
(1)
Priya said:
8 years ago
Cost price of old mixture = (26 kg * rs.20) + (30 kg * 30) = 1600.
Cost of new mixture =( (26 kg + 30 kg) * rs. 30 ) =1680.
gain = 1680 -1600 = rs. 80,
gain percentage = ( 80 *100 )/1600 = 5%.
Cost of new mixture =( (26 kg + 30 kg) * rs. 30 ) =1680.
gain = 1680 -1600 = rs. 80,
gain percentage = ( 80 *100 )/1600 = 5%.
Prem said:
8 years ago
Hello, freinds the answer should be 10% I think so.
Balkaran singh said:
8 years ago
Why we use it alligation.
(2)
Prasanna chinna said:
9 years ago
I cannot understand this problem. Please explain in simple way.
(1)
Gaurank Verma said:
9 years ago
For 1st type of rice :
Cost of 1kg of rice = Rs.20.
Cost of 26kg of rice = 20 * 26 = 520.
For 2nd type of rice:
Cost of 1kg of rice = Rs 36.
Cost of 30kg of rice = 36 * 30 =1080.
Total C.P = Rs.520 + Rs.1080 = Rs 1600.
Total rice weight (in kg) = 56.
So,
Trader sold this 56kg of rice @ Rs30/kg.
Total S.P = 56 * 30 = Rs. 1680.
Hence,
Gain = 1680 - 1600 = 80.
==> Gain% = (80/1600) * 100 = 5%.
Cost of 1kg of rice = Rs.20.
Cost of 26kg of rice = 20 * 26 = 520.
For 2nd type of rice:
Cost of 1kg of rice = Rs 36.
Cost of 30kg of rice = 36 * 30 =1080.
Total C.P = Rs.520 + Rs.1080 = Rs 1600.
Total rice weight (in kg) = 56.
So,
Trader sold this 56kg of rice @ Rs30/kg.
Total S.P = 56 * 30 = Rs. 1680.
Hence,
Gain = 1680 - 1600 = 80.
==> Gain% = (80/1600) * 100 = 5%.
(1)
Kiran Kumar said:
9 years ago
Allegation concept would have been applicable if you wanted to know the ratio or the cost of the mixture. But here everything is given. This is a concept of weighted average. So in weighted average, the exact weights are not necessarily be taken.
Even the ratio of weights if taken will give the same result. Thus the weights 26 and 30 can be taken as 26:30 which is 13:15.
Thus they can be taken as 13 and 15 instead of 26 and 30. That will make the multiplication easy and the answer will be the same. As weighted average talks about the ratio of weights and not the exact weights.
Even the ratio of weights if taken will give the same result. Thus the weights 26 and 30 can be taken as 26:30 which is 13:15.
Thus they can be taken as 13 and 15 instead of 26 and 30. That will make the multiplication easy and the answer will be the same. As weighted average talks about the ratio of weights and not the exact weights.
(1)
Rk mishra said:
9 years ago
Can we apply allegation concept in this question?
Arun said:
10 years ago
Could some one derive the formula or explain the following formula:
If two similar articles are sold, one at a gain of A% and another at a loss of A%, then always loss is incurred and loss percent = (A*A)/100%.
If two similar articles are sold, one at a gain of A% and another at a loss of A%, then always loss is incurred and loss percent = (A*A)/100%.
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