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Question

Logical Reasoning Question on Data Sufficiency

The following question is asked followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and not required while answering the question.
P, Q and R together invested an amount of Rs. 20,000 in the ratio of 5:3:2. What was the per cent profit earned by them at the end of one year?
A. Q’s share in the profit is Rs. 2,400.
B. The amount of profit received by P is equal to the amount of profit received by Q and R together.
C. The amount of profit received by Q and R together is Rs. 4,000.

A

A and B both

B

A or C only

C

B and A or C only

D

B and C both

Answer

B and A or C only

Explanation

Solution

As per the given above question ,
Statement (B) is useless because it is the same as the given statement. [Profit is distributed in the same ratio as their investment. Since their investments are in ratio 5 : 3 : 2, the profit of P (= 5) is equal to the profit of Q and R together (3 + 2 = 5)]
Statement (A) alone is sufficient to answer.
(Q's share = \$$ 2400 Total profit of P+Q+R = \frac{2400}{3}\times(5+3+2)TotalprofitofP+Q+R=(5+3+2) Total profit of P+Q+R = $80008000 \therefore%profit=profit =\frac{8000}{20000}\times100=40%$
The correct option is (C): B and A or C only