Multiple choice

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? I. Total amount invested in the business is Rs. $22,000$. II. Profit was distributed after a period of $2$ years. III. The average amount of profit earned per year is Rs. $ 2,750$.

  1. I and either II or III

  2. Any two of the three

  3. All I,II and III

  4. Either I or II and III

  5. Question cannot be answered even with the information in all three statements

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

X's profit share equals his investment multiplied by the time period, where the ratio of investments is 5 : 4 : 2. Statement I gives the total investment so each person's investment can be calculated, and either statement II or III gives the time period (III provides the annual profit which must be multiplied by the time). Therefore, all three statements I, II and III are required to determine the exact profit share.