Question
‘Ravi’ and ‘Sameer’ invested Rs. ‘y’ and Rs.
‘1.5y’ in a business respectively. After four months, both of them increased their investments to twice the original amount. If at the end of the year, the profit is divided in the ratio 7:9 respectively, find the value of initial investment made by ‘Sameer’.Solution
ATQ,
Ratio of profit shares of ‘Ravi’ and ‘Sameer’ =
{(y × 4) + (2y × 8) : (1.5y × 4) + (3y × 8)} = 4y + 16y : 6y + 24y = 20y : 30y
ATQ;
(20y / 30y) = (7 / 9)
‘y’ cancels out, hence we cannot determine the actual value of ‘y’.
So, initial investment of Sameer = 1.5y, but value of y is not determinable.

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