CMAT 2014 Solved Question Paper

Question : 12 of 100

Marks: +1, -0

P, Q and R invested ₹ 4000, ₹ 5000 and ₹ 6000, respectively in a business and P gets 25% profit for managing the business, the rest of the profit is divided by P, Q and R is proportion to their investment. If in a year, P gets 200 less than Q and R together, then what is the total profit for that year?

₹ 1500
₹ 2500
₹ 2000
₹ 1900

Validate

Solution:

(c) Since, P gets 25% for managing the business. Therefore, remaining 75% is distributed in the proportion of their investment.
i.e., P : Q : P = 4 : 5 : 6
∴ 75% of total profit = 4x + 5x + 6x
Now, total profit =

{15x}/75

x 100 = 20x
∴ P's share = 25% of 20x + 4x = 9x
Q's share = 5x and R’s share = 6x
According to the question,
(Q's share + R’s share) - (P's share) = 200
(5x + 6x) - 9x = 200
x = 100
∴ Total profit = 20x = 20 x 100 = ₹ 2000

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