Direction: In each of the following questions, a question is asked followed by three statements. You have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions.
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P, Q and R together invested an amount of $ 20000 in the ratio of 5 : 3 : 2. What was the percent profit earned by them at the end of one year?
A. Q’s share in the profit is $ 2400.
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 $ 4000.
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- B and A or C only
- A or C only
- A and B both
- B and C both
- Information in all the three statements is required to answer the question.
Correct Option: A
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 = | 2400 | × (5 + 3 + 2) | |
| 3 |
Total profit of P + Q + R = $ 8000
| ∴ % Profit = | 8000 | x 100 = 40 % | |
| 20000 |
Similarly, statement (C) alone is sufficient to answer the question. Hence, (B) and (A) or (C) can be dispensed with.
