X and Y make a partnership. X invests Rs.8000 for 8 months and Y remains in the business for 4 months. Out of the total profit, Y claims 2 / 7 of the profit. How much money was contributed by Y?


A) Rs.5000

B) Rs.5400

C) Rs.7400

D) Rs.6400

Correct Answer:
D) Rs.6400

Description for Correct answer:

Y gets 2 / 7 of the profit.

X gets \( \Large \left( 1 - \frac{2}{7} \right) = \frac{5}{7} \  of \  the \  profit\)

X : Y = \( \Large \frac{5}{7} : \frac{2}{7} = 5 : 2 \)

Let the contribution of Y be a.
Then, 8000 X 8 : a X 4 = 5 : 2

= > \( \Large\frac{64000}{4a} = \frac{5}{2} \)

= > 20a = 128000

a = \( \Large \frac{128000}{20} = Rs.6400 \)


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