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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Three friends X, Y and Z started a partnership business investing money in the ratio of 5 : 4 : 2, respectively for a period of 3 years. What is the amount received by X as the share in the total profit?
A. Total amount invested in the business is $ 22000.
B. Profit was distributed after a period of 2 years.
C. The average amount of profit earned per year is $ 2750.
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- A only
- B only
- C only
- A or C only
- A or B or C
Correct Option: D
On the basis of above given details in question , we have
The ratio of investing money for 3 years = 5 : 4 : 2
Let the investment of X , Y and Z are 5k , 4k and 2k respectively .
From statement A , Total amount invested in the business = $ 22000.
From statement B , Profit was distributed after a period of 2 years.
From statement C , The average amount of profit earned = $ 2750.
According to question ,
Sum of investment money = Total profit
⇒ 5k + 4k + 2k = 2750 ⇒ 11k = 2750 ⇒ k = 2750 / 11 = $ 250
Amount received by X = 10k = 10 x 250 = $ 2500 ( for 2 years )
When investment ratio is given, the amount of profit can be found out with the help of C only.