Simple and Compound Interest

Shyam deposited in a ban Rs. $7500$ for $6$ months at the rate of $8\%$ interest compounded quarterly. Find the amount the received after $6$ months.

What is CI on INR $7500$ for $4$ years if the rate of interest is $10\%$ p.a. For the first $2$ years and $20\%$p.a. for the next $2$ years?

What will be CI on an amount of INR $10000$ at the rate of $20$ p.c.p.a in two years if the interest rate is compounded half yearly?

If the ratio of $CI$ & $SI$ intersect for the same principle and rate of interest for $2$ years is $1.2$, find the rate of interest.

If the difference between the C.I. compounded half yearly and simple interest on a sum at 10% per annum for one year is Rs. 25, the sum is:

The compound interest on Rs. 4000 at 10% per annum for 1$\dfrac{1}{2}$ years is to be calculated. If interest is reckoned half yearly, what is the number of periods of transition?

The simple interest on a sum of money for $3$ years at $12\%$ per annum is $rs.\ 4500$. what will be the compound interest on that sum at the same rate and for the same period?

Find the compound interest for Rs. $8192$ for $1\dfrac{1}{2}$ years at $12\dfrac{1}{2}\%$ per annum the interest being compounded half yearly.

Pranjal borrows a sum of $Rs\ 20,000$ at the rate of $5\%$ p.a. After how many years does she pay the money back if she pays an interest of $Rs\ 2500$?