Sample QuestionsCompound Interest (Using Formula) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Rohit borrows $Rs. 86,000$ from Arun for two years at $5\%$ per annum simple interest. He immediately lends out this money to Akshay at $5\%$ compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
View full solution →Find the compound interest to the nearest rupee on $Rs. 10,800$ for $2 \frac{1}{2}$ years at $10 \%$ per annum.
View full solution →The population of a town decreased by $12\%$ during $1998 $ and then increased by $8\%$ during $1999. $ Find the population of the town $, $ at the beginning of $1998,$ if at the end of $1999$ its population was $2,85,120.$
View full solution →According to a census taken towards the end of the year $ 2009, $ the population of a rural town was found to be $64,000. $The census authority also found that the population of this particular town had a growth of $5\%$ per annum. In how many years after $2009$ did the population of this town reach $74,088 $ ?
View full solution →What sum of money will amount to $Rs. 27,783 $ in one and a half years at $10\%$ per annum compounded half yearly ?
View full solution →A sum of money is invested at $10\%$ per annum compounded half yearly. If the difference of amounts at the end of $6 $months and $12$ months is $Rs.189,$ find the sum of money invested.
View full solution →Calculate the sum of money on which the compound interest $($payable annually$)$ for $2$ years be four times the simple interest on $Rs. 4,715$ for $5$ years, both at the rate of $5\%$ per annum.
View full solution →Simple interest on a sum of money for $2$ years at $4\%$ is $Rs .450.$ Find compound interest on the same sum and at the same rate for $1$ year, if the interest is reckoned half yearly.
View full solution →The difference between compound interest for a year payable half$-$yearly and simple interest on a certain sum of money lent out at $10\%$ for a year is $Rs. 15.$ Find the sum of money lent out.
View full solution →Mr. Sharma borrowed a certain sum of money at $10\%$ per annum compounded annually. If by paying $Rs.19,360$ at the end of the second year and $Rs. 31,944$ at the end of the third year he clears the debt; find the sum borrowed by him.
View full solution →The simple interest on a certain sum of money for $3$ years at $5\%$ per annum is $Rs. 1,200.$ Find the amount and the compound interest due on this sum of money at the same rate and after $2$ years. Interest is reckoned annually.
View full solution →Anuj and Rajesh each lent the same sum of money for $2$ years at $8\%$ simple interest and compound interest respectively. Rajesh received $Rs. 64$ more than Anuj . Find the money lent by each and interest received.
View full solution →Nikita invests $Rs.6,000$ for two years at a certain rate of interest compounded annually. At the end of first year it amounts to $Rs.6,720.$ Calculate:$(a)$ The rate of interest.$(b)$ The amount at the end of the second year.
View full solution →A sum of money lent out at $C.I.$ at a certain rate per annum becomes three times of itself in $10$ years. Find in how many years will the money become twenty$-$seven times of itself at the same rate of interest $p.a.$
View full solution →Find the difference between compound interest and simple interest on $Rs. 12,000$ and in $1 \frac{1}{2}$ years at $10 \%$ compounded yearly.
View full solution →A sum of money was invested for $3$ years, interest being compounded annually. The rates for successive years were $10\%, 15\%$ and $18\%$ respectively. If the compound interest for the second year amounted to $Rs. 4,950$, find the sum invested.
View full solution →The value of a machine, purchased two years ago, depreciates at the annual rate of $10\%$. If its present value is $Rs.97,200$, find:
- Its value after $2$ years.
- Its value when it was purchased.
View full solution →A sum of money, invested at compound interest, amounts to $Rs. 16,500$ in $1$ year and to $Rs. 19,965$ in $3$ years. Find the rate per cent and the original sum of money invested.
View full solution →Ashok invests a certain sum of money at $20\%$ per annum, compounded yearly. Geeta invests an equal amount of money at the same rate of interest per annum compounded half$-$yearly. If Geeta gets $Rs. 33$ more than Ashok in $18$ months, calculate the money invested.
View full solution →Find the difference between the compound interest compounded yearly and half$-$yearly on $Rs. 10,000$ for $18$ months at $10\%$ per annum.
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