B Nirmala Shastry Solutions for Exercise 4: MISCELLANEOUS EXERCISE

Amrit Raj borrows $₹60000$ from a bank at $9\%$ per annum on compound interest. He repays at the end of first year $₹24500$ and $₹12700$ at the end of the second year. Find the amount outstanding at the beginning of the third year. 

A certain sum amounts to $₹26,460$ in $2$ years and $₹27783$ in $3$ years when compounded annually. Calculate the rate of interest and the sum borrowed. 

Khushnaz borrows a sum of $₹8000$ for $2$ years at SI and immediately lends out this money to another person at CI for the same period at the same rate. If she makes a profit of $₹96.80$ on this transaction at the end of two years, calculate the rate of interest.

On a sum of money, the difference between CI for a year payable half-yearly and the SI for a year is $₹80$. If the rate of interest is $5\%$, find the sum.

The price of a car is $₹350000$. The value of the car depreciates by $20\%$ in the first year and after that it depreciates by $25\%$ every year. What will be the car's value after $3$ years? 

The value of a machine depreciates every year at the rate of $10\%$. If the value after $3$ years after it was purchased is $₹10,935$, at what price was it purchased?

The compound interest, calculated yearly, on a certain sum of money for the second year is $₹1320$ and for the third year is $₹1452$. Calculate the rate of interest and the original sum of money. 

The CI earned by a sum of money in $2$ years at $5\%$ per annum is $₹4305$. Find the sum.