Multiple choice

What will be the share of R in the profit earned by V, R and A together? (I) They together invested an amount of Rs 54000 for a period of one year. (II) R's investment was 25% less than V's and 50% more than A's. (III) The profit of V is Rs 4000 more than that of A.

  1. I and II

  2. II and either I or III

  3. Only II

  4. Only II and III

  5. Answer can not be given even using all the three statements.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From statement II: If R's investment is 25% less than V's, then R = 0.75V. R's investment is 50% more than A's, so R = 1.5A. From these, V : R : A = 4 : 3 : 2. From statement III: V's profit exceeds A's by Rs 4000. Since profit is distributed in the ratio of investments (assuming equal time periods), if A's profit is x, V's profit is x + 4000. From the ratio 4:3:2, this difference of 1 unit equals Rs 4000, so R's profit (3 units) is Rs 12000. Statement I is not needed as the actual investment amounts are irrelevant - only the ratios matter.

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