A and B made the decision to launch a joint venture. It was decided that A and B will divide the profit in the ratio 2:X. If B's profit share is ₹5976 and the overall profit at the end of the year is ₹9960, then the value of X is:
3
In a joint venture the profit is divided in the agreed ratio, so A's share : B's share = 2 : X, and the two shares add up to the overall profit.
A's share = 9960 – 5976 = ₹3984.
So \(\frac{2}{X} = \frac{3984}{5976}\). Dividing both numbers by 1992 gives 3984 : 5976 = 2 : 3, so X = 3.
Check: with the ratio 2 : 3, B's share = \(\frac{3}{5} \times 9960 = 5976\) and A's share = \(\frac{2}{5} \times 9960 = 3984\), matching the given figures.
Hence, 3.
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