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A started a business with an investment of Rs.2000, and after Y months, B joined him with an investment of Rs.2500. If at the end of the year, the pro
Question


A started a business with an investment of Rs.2000, and after Y months, B joined him with an investment of Rs.2500. If at the end of the year, the profit sharing ratio of A to B is 32:15, find the value of 2Y−4.


A.

11

B.

15

C.

12

D.

14

E.

9

Correct option is A


Information Given:
A started a business with an investment of Rs.2000.
After Y months, B joined him with an investment of Rs.2500.
At the end of the year, the profit sharing ratio of A to B is 32:15.
Formulas Used:
Profit share = Investment × Time period
Basic Explanation:
ATQ,
4.5=12-Y
Y=7.5
Required value = 2(7.5)-4=11

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