What will be the share of R in the profit earned by V R and A together I They together invested an a...........

Quantitative Aptitude ( CCS) Data Sufficiency

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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 1 year

II. R’s investment was 25% less than V’s and 50% more than A’s.

III. The profit of V is 4000 more than that of A.

I and II together

Only II

II and either I or III only

II and III together

None of the Above

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Explanation:

Let A’s investment = x
From statement II
R’s investment = 150% of x = 1.5x
V’s investment = z = R’s investment was 25% less than V’s = 75% of z = 1.5x => 2x
A, V, R profit ratio = x : 2x :1.5x = 2:4:3
Let profit ratio of A, V, R be 2y, 4y and 3y
From statement III
4y-2y = 4000
y =2000
R’ share = Rs.6000
Statement II and III together are sufficient to answer the question.

Hence, option 4 is the correct answer.