Let the book value of investments be x.
Romesh took over investments at Rs. 8,100, which is 10% less than the book value.
This means Romesh paid 90% of the book value (100% - 10% = 90%).
So, 90% of x = Rs. 8,100
10090×x=8,100
x=8,100×90100
x=9,000
Verification: 10% of Rs. 9,000 = Rs. 900
Rs. 9,000 - Rs. 900 = Rs. 8,100 ✓
The book value of investments was Rs. 9,000.