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 1 of 4.
Dheeraj said:
8 years ago
Guys let me make you understand this one,
Given:
1. Rate of "x" is Rs.20 per kg. and "y" is Rs.13 per kg. (assuming both statements are correct)
2. They are sold at Rs.17 per kg.
But here we don't know - How much amount of "x" is mixed?
How much amount of "y" is mixed?
{Imp. Part}
Suppose 1/2kg of x and 3/2 kg of y are mixed: total 2kg and C.P=[(1/2)*20 + (3/2)*13]/2 = Rs.59/4 per kg.
Total C.P. = 59/2
Total S.P. = 17*2 = 34.
Profit= 34 - 59/2
Profit = 34-29.5 = Rs. 4.5.
NOTE1: Now here if I don't know how much amount of x and y are mixed, I will not be able to find out the C.P. and therefore will not be able to calculate total profit.
NOTE2: Mixture and Allegation method is used where we C.P. is given.
Thank You
Given:
1. Rate of "x" is Rs.20 per kg. and "y" is Rs.13 per kg. (assuming both statements are correct)
2. They are sold at Rs.17 per kg.
But here we don't know - How much amount of "x" is mixed?
How much amount of "y" is mixed?
{Imp. Part}
Suppose 1/2kg of x and 3/2 kg of y are mixed: total 2kg and C.P=[(1/2)*20 + (3/2)*13]/2 = Rs.59/4 per kg.
Total C.P. = 59/2
Total S.P. = 17*2 = 34.
Profit= 34 - 59/2
Profit = 34-29.5 = Rs. 4.5.
NOTE1: Now here if I don't know how much amount of x and y are mixed, I will not be able to find out the C.P. and therefore will not be able to calculate total profit.
NOTE2: Mixture and Allegation method is used where we C.P. is given.
Thank You
(3)
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.
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.
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.
Sparsh Chandra said:
1 decade ago
Option E will be correct only if both the type of rice are mixed in same ratio. So answer 100/33% = 3.33% as solved by AMIT is correct but here it is not defined whether the mixture of them was done in same ratio or different.
So D will be correct. So the question is not exactly defined.
So D will be correct. So the question is not exactly defined.
Gyani lal said:
7 years ago
The mixture is 17rs/kg.
The first statement told that x is 20rs/kg and,
second statements told that Y is 13rs/kg,
so cp from mixture 20+13=33 for 2kg,
and sp from mixture is 17 for 1kg and 34 for 2kg,
profit=34-33*100/33,
So, option E is correct.
The first statement told that x is 20rs/kg and,
second statements told that Y is 13rs/kg,
so cp from mixture 20+13=33 for 2kg,
and sp from mixture is 17 for 1kg and 34 for 2kg,
profit=34-33*100/33,
So, option E is correct.
(1)
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 .
Bhupendra Gupta said:
10 years ago
We have to calculate profit per.
So it requires cost price ===> given but not clear that in what ratio we mixed them. So we have not cost price, and selling price is 17/kg but cost price is not clarify. So and D is correct.
So it requires cost price ===> given but not clear that in what ratio we mixed them. So we have not cost price, and selling price is 17/kg but cost price is not clarify. So and D is correct.
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.
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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