To find the balance in the account after 5 years, we need to calculate the compound interest earned on the initial deposit of rupees 2000. The interest is compounded quarterly, so there are 4 quarters in a year and a total of 20 quarters over 5 years.
The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where A is the total amount in the account (principal plus interest), P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values for this problem, we get:
A = 2000(1 + 10/4)^(4*5)
Calculating this expression, we find that the balance in the account after 5 years is rupees 4183.84. This is the total amount in the account, including both the initial deposit of rupees 2000 and the compound interest earned over the 5 year period