Find the amount which Ram will get on ₹ 4,096, if he gave it for 18 months at112 %2perannum, interest being compounded half yearly.

To find the amount Ram will get on ₹ 4,096, we need to calculate the compound interest.

First, let's break down the given information: Principal amount (P) = ₹ 4,096 Rate of interest (R) = 12% per annum (112/2 = 56% per half-year) Time period (T) = 18 months (since interest is compounded half-yearly, we need to convert it to half-years)

Now, let's calculate the amount using the compound interest formula:

Amount (A) = P * (1 + R/100)^n

Here, n represents the number of compounding periods. Since interest is compounded half-yearly, we have 18 months, which is equivalent to 36 half-years (18/6 = 3 half-years per year, and 3 * 12 = 36 half-years).

Plugging in the values: A = ₹ 4,096 * (1 + 56/100)^36

Calculating the value inside the parentheses: (1 + 56/100) = 1.56

Now, let's calculate the amount: A = ₹ 4,096 * (1.56)^36

Using a calculator or spreadsheet, we can find the value of (1.56)^36, which is approximately 10.563.

Finally, we can calculate the amount: A = ₹ 4,096 * 10.563

Calculating this, we find that Ram will get approximately ₹ 43,232.