Compound Interest

Sneha opened a cumulative time deposit account with a bank and deposits $₹500$ for  $1\frac{1}{4}$ yr. If she receives$₹300$ as interest, then find the rate of interest per annum.

A man borrowed a sum of money at $5\%$ simple interest per annum and give the money to another person at $10\%$ compound interest and make a profit of $₹905$ in $3$ years. How much money in $₹$ did he borrow?

Mr. Sunil invested $₹3,00,000$ in shares two years ago. He incurred a loss of $5\%$ during the first year while earned a profit of $10\%$ on the balance amount during the second year. Calculate his net profit or loss after the second year.

The compound interest for two years on a capital is rupees two more than the simple interest for the same period. If the rate of interest is $5℅$ per year. Then the capital would be ₹$800$.

In compound interest, the principal remains constant for the whole period.

At same rate of simple interest, $A$ lent $₹6000$ to $B$ for $2$ years and $₹1500$ to $C$ for $4$ years and received $₹900$ as interest from both of them together. Find the rate of interest per annum.

A man invests $₹ 46875$ at $4\%$p.a. compound interest for $3$ years. Calculate the interest for the first year.

A sum is taken for one year at $16\%$ p.a. If interest is compounded after every three months, how many times will interest be charged in one year?( write the final answer in numerals)

Swati borrows $₹40960$ from the bank to buy a piece of land. She took a loan from a bank at annual rate $12\frac{1}{2}\%$ interest for $1\frac{1}{2}$ years compounding half-yearly. If Swati has to pay an amount$₹k$ to the bank at the end of the time period, then what is the value of $k$?

A sum of money is invested at compound interest payable annually. The interest in two successive years is Rs. $225$and Rs.$240$respectively. Find the rate of interest.

Find the compound interest on$19000$ for $2$ years if rate of interest for $2$ successive years are $5\%$   p.a. and  $6\%$p.a.

Rohit borrows $₹ 86000$ from Arun for two years at $5\%$ p.a. simple interest. He immediately lends out this money to Akshay at $5\%$ compound interest compounded annually for the same period. Calculate Rohit's proft in the transaction at the end of two years. 
 

Nikita invests $₹ 6000$ for $2$ years at a certain rate of interest compounded annually. At the end of first year it amounts to $₹ 6720$. Calculate the amount at the end of second year.

Nikita invests $₹ 6000$ for $2$ years at a certain rate of interest compounded annually. At the end of first year it amounts to $₹ 6720$. Calculate the rate of interest.

What sum of money will amount to $₹9,261$ in $3$ years at $5\%$ per annum compound interest?

Mr. Dubey borrows Rs. $100000$ from State Bank of India at $11\%$ p.a. compound interest. He repays Rs. $41000$at the end of the first year and Rs. $47700$ at the end of the second year. Find the amount outstanding at the beginning of the third year.

Ramesh invests $₹12800$ for $3$ years at the rate of $10\%$ p.a. compound interest. Find the total amount due to him at the end of the third year

Ramesh invests Rs. $12800$ for $3$ years at the rate of $10\%$  p.a. compound interest. Find  the interest he earns for the second year

Neelima deposited$₹250000$ for $2$ years at $8\%$ p.a., interest compounded annually. If income tax at$10\%$ is deducted every year on accrued interest, find the amount she received after $2$ years.

Madhukar took a loan of Rs. $20000$ from a moneylender at $15\%$ p.a. simple interest for $1\frac{1}{2}$years. He lent the money to his friend Shekhar at the same rate compound interest, interest compounded half yearly. Find the gain of Madhukar.