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 1 of 4.
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)
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)
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)
Prithviraj said:
5 years ago
The 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 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%.
(35)
Divyanshu said:
1 decade ago
Hi friends,
Total mixture = 26Kg+30Kg = 56 Kg
C.P of Total mixture = {(26*20)+(30*36)} = Rs.1600
S.P of 1Kg of mixture = Rs.30
S.P of Total mixture(i.e 56Kg) = 30*56 = Rs.1680
Now, Profit = S.P of Total mixture - C.P of Total mixture
= 1680-1600 = Rs.80
Profit Percent = (80*100)/1600
= 5%
Total mixture = 26Kg+30Kg = 56 Kg
C.P of Total mixture = {(26*20)+(30*36)} = Rs.1600
S.P of 1Kg of mixture = Rs.30
S.P of Total mixture(i.e 56Kg) = 30*56 = Rs.1680
Now, Profit = S.P of Total mixture - C.P of Total mixture
= 1680-1600 = Rs.80
Profit Percent = (80*100)/1600
= 5%
Pabbaanirudh said:
1 decade ago
Hi friends,
Total weight of rice mixture is 26kg of Rs.20 verity and 30kg of Rs.36 verity.
Total rice of two verity is 26+30 = 56kg.
Total CP is (26*20+30*36) = Rs.1600.
SP of total rice is (56*30) = 1680.
Profit percentage P% = p/CP*100.
i.e. p% = 80/1600*100 = 5%.
Total weight of rice mixture is 26kg of Rs.20 verity and 30kg of Rs.36 verity.
Total rice of two verity is 26+30 = 56kg.
Total CP is (26*20+30*36) = Rs.1600.
SP of total rice is (56*30) = 1680.
Profit percentage P% = p/CP*100.
i.e. p% = 80/1600*100 = 5%.
G.vijayabaskar said:
1 decade ago
dear friend, mamta.the mixing is relating to quality &cost price.26kg quality of rice mixing to rs 20per kg of rise.(i.e u have re.1coin of 5 unit,total value is 5.then u adding rs 10 note to their,now the total unit is 6.)as well as 26kg+30kg =56kg not 62kg.
Pavanpraturi said:
1 decade ago
Answer is exactly correct.
Here,
CP of 26 kg rice is 26*20 = 580.
CP of 30 kg rice is 36*330 = 1080.
Now (CP1+CP2) = 1080+580.
= 1600.
SP of 56 kg = 56*30 = 1680.
Profit = SP-CP=1680-1600 = 80.
Gain% = 100/80*100 = 5%.
Here,
CP of 26 kg rice is 26*20 = 580.
CP of 30 kg rice is 36*330 = 1080.
Now (CP1+CP2) = 1080+580.
= 1600.
SP of 56 kg = 56*30 = 1680.
Profit = SP-CP=1680-1600 = 80.
Gain% = 100/80*100 = 5%.
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%.
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%.
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