A and B entered into a partnership with certain investments. At the end of 8 months, A withdrew and collected back his money. A and B received profit in the ratio 5 : 9 at the end of the year. If B had invested ₹ 36,000, then how much (in ₹) had A invested?

30,000

Let us consider that investment of A = x

Total investment of A = x × 8 = 8x

Total investment of B = 12 × 36000 = 432000

We know that ,

Ratio of Investment = Ratio of Profit

\(\frac{8x}{432000}\) = \(\frac{5}{9}\)

x = \(\frac{5 × 432000}{72}\)

= 30,000

So, Total investment of A = 30,000