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Question

The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.

P, Q and R together invested an amount of Rs. 55,000 in the ratio of 5:2:4 for different period of time. What was the amount of profit earned by them individually at the end of one year?

A. They invested for the period in the ratio 1:3:1.

B. R’s profit is 600 less than Q’s profit.

C. Total amount of profit at the end of one year is Rs. 4,500

A Only A and either B or C together Correct Answer Incorrect Answer
B Only B and C together Correct Answer Incorrect Answer
C Any of them Correct Answer Incorrect Answer
D Any two of them Correct Answer Incorrect Answer
E Only C Correct Answer Incorrect Answer

Solution

The given question gives the amount of investment of p, q and R which is P = Rs. 25,000, Q= Rs. 10,000 and R = 20,000. Statement A combined with the question’s information will give us the ratio of their profit i.e. 5 [if gte msEquation 12]>× [if !msEquation]-->[endif]-->1 : 2 [if gte msEquation 12]>× 3 [if !msEquation]-->[endif]-->: 4 [if gte msEquation 12]>× [if !msEquation]-->[endif]-->1; 5:6:4. Now, combine this either with B or C, and profit earned by them can be determined. Therefore, Only A and either B or C together is sufficient.

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