Bidyut Guha Thakurta and Amitava Mitra Solutions for Exercise 1: EXERCISE 2

The compound interest on a certain sum of money for $2$ years at $5\%$ per annum is$₹ 820$. The sum is _____.

The compound interest on $₹x$ in $2$ years at $10\%$ per annum is _____.

The compound interest for the second year on a certain sum of money at $10\%$ per annum is $₹11x$. The sum is _____.

State whether the statement is True or False:

Compound interest for the second year on $₹8000$ at $10\%$ per annum is $₹ 880$.

State whether the statement is True or False:

If the principal for the first year is $₹1200$, then the compound interest for second year at $10\%$ rate of compound interest per annum, is $₹136$.

State whether the statement is True or False:

If rate of compound interest be $r\%$ per annum and amount of a certain sum of money after$n$ years is $₹x$, then the sum is $₹\frac{x}{\left(1+{\displaystyle \frac{r}{100}}\right)n}$.

State whether the statement is True or False:

Compound interest on a certain sum in $2$ years at a certain rate of interest is greater than the simple interest on the same sum of money at the same rate of interest.

State whether the statement is True or False:

If the rate of compound interest be $10\%$ per annum and principal for first year is $₹x$, then the principal for the third year is $₹\frac{121x}{100}$.