The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. P, Q and R entered into a partnership. If the profit earned in the business is proportional to the investment and the period of investment then what is the ratio of the share of profit between P and Q after one year if all of them invested for one year I) R's investment was the same as that Q. II) R got 1/3 of the total profit. III) Q's investment was Rs. 100000.?

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  1. Any two of them
  2. Any of them
  3. All statements are required
  4. I and II together
  5. II and III together

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AhmedNazir

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Option 4 : I and II together

Considering Statement III,

Q’s investment = Rs. 100000 

Hence, this statement is not sufficient alone.

Considering Statement  I and II together,

From II, R got 1/3 of the total profit.

 

From I, R's investment was the same as that Q.

⇒ Q also gets 1/3 of the total profit.

∴ P gets the remaining 1/3 as the profit.

Hence, the ratio of the share of profit between P and Q after one year = 1/3 : 1/3

i.e Ratio = 1 : 1

Thus, the question can be answered using statements I and II together.

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