Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - Data Sufficiency 2 (Q.No. 1)
Directions to Solve
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
1.
A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage. | |
I. | The rate of X is Rs. 20 per kg. |
II. | The rate of Y is Rs. 13 per kg. |
Answer: Option
Explanation:
The ratio, in which X and Y are mixed, is not given.
So, both I and II together cannot give the answer.
Correct answer is (D).
Discussion:
32 comments Page 3 of 4.
Harshad said:
1 decade ago
No option E is incorrect. Right answer is D.
Because the ratio of mixing is important. We just can't assume he mixed same quantity of both rice (x and y).
What if he mixed 1 kg of x and 9999 kg of y.
So total 10,000 kg and cost will be (20+9999*13) = 1,30,007.
And sp for 10000 kg =17*10000 = 1,70,000.
Profit = 39993 and % will be 3.07.
And what if we consider the other way round. Like what if he mixed 1 kg of y and 9999 kg of x.
That time he will be in loss.
Because the ratio of mixing is important. We just can't assume he mixed same quantity of both rice (x and y).
What if he mixed 1 kg of x and 9999 kg of y.
So total 10,000 kg and cost will be (20+9999*13) = 1,30,007.
And sp for 10000 kg =17*10000 = 1,70,000.
Profit = 39993 and % will be 3.07.
And what if we consider the other way round. Like what if he mixed 1 kg of y and 9999 kg of x.
That time he will be in loss.
Vinay said:
1 decade ago
Option E is the right by assuming 2 mixed rice are each one is 1 kg so that 2 kg of rice is 33 per 2kg and sp is 17*2 = 34 per 2 kg.
Profit = 100/33 = 3.03%.
In my point of view. If its wrong give me suggestion.
Profit = 100/33 = 3.03%.
In my point of view. If its wrong give me suggestion.
Minaz Sajan said:
1 decade ago
Option E.
Cause the options are necessary. Even when the ratio is given, if the individual price is not known, deriving a the profit % will not be possible.
Cause the options are necessary. Even when the ratio is given, if the individual price is not known, deriving a the profit % will not be possible.
Rajdeep said:
1 decade ago
IF WE CONSIDER THAT FOR MAKING NEW 1 KG of rice we have to take 0.5 kg from each type. Then we get total buy price 10+6.5=16.5.
We sell 1 kg in 17/kg.
Then the profit we get 0.5 Rs/kg.
So option(E).
We sell 1 kg in 17/kg.
Then the profit we get 0.5 Rs/kg.
So option(E).
Sanjeet Ajnabee said:
1 decade ago
@Amit.
To Calculate The Profit Percentage Either
Mixture Ratio Or Selling Price Of Mixture Is Required.
Here If Make Any Assumption Like-
1 and 1 kg of both X & Y than tolal amount is 20+13=33rs & total sum of mixture is 2 kg than price the man sells is 17 * 2=34rs so profit is 1rs.
Then We Are Using Ratio 1:1, Which Is Not Given.
If Someone Assume Other Ratio Then May Be A Loss In steed Of Profit.
So We Cannot Calculate The % Profit Unless One Of Above Is Given.
To Calculate The Profit Percentage Either
Mixture Ratio Or Selling Price Of Mixture Is Required.
Here If Make Any Assumption Like-
1 and 1 kg of both X & Y than tolal amount is 20+13=33rs & total sum of mixture is 2 kg than price the man sells is 17 * 2=34rs so profit is 1rs.
Then We Are Using Ratio 1:1, Which Is Not Given.
If Someone Assume Other Ratio Then May Be A Loss In steed Of Profit.
So We Cannot Calculate The % Profit Unless One Of Above Is Given.
Malay said:
1 decade ago
In example x rice is RS 20 perkg
y rice is RS 13 per kg
33 for 2 kg
so that 33/2 = 16.50 per kg cost price
now profit% is = 0.50/16.5*100= 3.03% so we get the profit percentage, ans should be E .
y rice is RS 13 per kg
33 for 2 kg
so that 33/2 = 16.50 per kg cost price
now profit% is = 0.50/16.5*100= 3.03% so we get the profit percentage, ans should be E .
Lakshmi said:
1 decade ago
It is two types of pure things, which mixed in different ratio's called allegation.
Amit said:
1 decade ago
For profit percentage we haven't need ratio.
As example if we take 1 and 1 kg of both X & Y than tolal amount is 20+13=33rs & total sum of mixture is 2 kg than price the man sells is 17 * 2=34rs so profit is 1rs.
Now % profit is (34-33)/33 *100 = approx3%
Take any ratio of mixture answer is always 3% so we can find % profit.
SO ANSWER E IS CORRECT, if it is wrong suggest me.
As example if we take 1 and 1 kg of both X & Y than tolal amount is 20+13=33rs & total sum of mixture is 2 kg than price the man sells is 17 * 2=34rs so profit is 1rs.
Now % profit is (34-33)/33 *100 = approx3%
Take any ratio of mixture answer is always 3% so we can find % profit.
SO ANSWER E IS CORRECT, if it is wrong suggest me.
Mohit said:
1 decade ago
What if he mix only 100 gm of (2 rs) in 900 gm of y? answer d is correct. Just think non mathematically, its common sense.
Marut Misra said:
1 decade ago
By mixture allegation formula we can't calculate the ratio because for that we need to know the Cost price of mixture.
Here instead of cost price of mixture selling price is given.
So ans D is correct.
Here instead of cost price of mixture selling price is given.
So ans D is correct.
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