The difference between the compound interest and simple interest on a certain sum at $3 \%$ per annum for $3$ years is ₹ $27.27 .$ The sum is (In ₹)
$12000$
$15000$
$10000$
None of these
How many statements are useful for find this :
What is the rate of interest percent $p.a.$?
$Statements:$
$I$. The difference between the compound interest and simple interest earned in two years on the amount invested is ₹ $100$.
$II$. The amount becomes ₹ $19,500$ in three years on simple interest.
$III$.The simple interest accrued in two years on the same amount at the same rate of interest is ₹ $3,000$.
A man borrows ₹ $25000$ at $20 \%$ compound interest. At the end of every year he pays ₹ $5000$ as part repayment. How much (In ₹) does he still owe after three such instalments?
What is the rate of interest (in $\%$) if simple interest earned on a certain sum for the 3 rd year is $₹ 2,000$ and compound interest earned in 2 years is ₹ $4,160 ?$
In how many $years$ will a sum of ₹ $800$ at $10 \%$ per annum compounded semi-annually become ₹ $926.10$?
A sum of money placed at compound interest doubles itself in $5 \,years$. It will amount to eight times itself at the same rate of interest in (In $years$)