Sample QuestionsCompound Interest (Without using formula) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A man invest $Rs. 5,600$ at $14\%$ per annum compound interest for $2$ years. Calculate : The amount at the end of the first year.
View full solution →A certain sum amounts to $Rs. 5,292$ in two years and $Rs. 5,556.60$ in three years$,$ interest being compounded annually. Find$: $the original sum.
View full solution →A certain sum amounts to $ Rs. 5,292$ in two years and $ Rs. 5,556.60$ in three years$,$ interest being compounded annually. Find$ :$ the rate of interest.
View full solution →A certain sum of money is put at compound interest$,$ compounded half$-$yearly. If the interest for two successive half $-$ years are $Rs. 650 $ and $Rs. 760.50;$ find the rate of interest.
View full solution →A sum is invested at compound interest $,$ compounded yearly $. $If the interest for two successive years is $Rs. 5,700$ and $Rs. 7,410.$ calculate the rate of interest$.$
View full solution →A man invest $ 5,600$ at $14\%$ per annum compound interest for $ 2$ years. Calculate $:$The interest for the first year.
View full solution →A sum of $Rs. 13,500$ is invested at $16\%$ per annum compound interest for $5$ years. Calculate :
$(i)$ the interest for the first year.
$(ii)$ the amount at the end of first year.
$(iii)$ the interest for the second year, correct to the nearest rupee.
View full solution →During every financial year, the value of a machine depreciates by $12\%.$ Find the original cost of a machine which depreciates by $Rs. 2,640$ during the second financial year of its purchase.
View full solution →The value of a machine depreciated by $10\%$ per year during the first two years and $15\%$ per year during the third year. Express the total depreciation of the machine, as percent, during the three years.
View full solution →What sum will amount of $Rs. 6,593.40$ in $2$ years at C.I. , if the rates are $10$ per cent and $11$ per cent for the two successive years ?
View full solution →$Rs. 8,000$ is lent out at $7\%$ compound interest for $2$ years. At the end of the first year $Rs. 3,560$ are returned. Calculate :
$(i)$ the interest paid for the second year.
$(ii)$ the total interest paid in two years.
$(iii)$ the total amount of money paid in two years to clear the debt.
View full solution →Saurabh invests $Rs. 48,000$ for $7$ years at $10\%$ per annum compound interest. Calculate:
$(i)$ the interest for the first year.
$(ii)$ the amount at the end of second year.
$(iii)$ the interest for the third year.
View full solution →Geeta borrowed $Rs. 15,000$ for $18$ months at a certain rate of interest compounded semi$-$annually. If at the end of six months it amounted to $Rs. 15,600;$ calculate :$(i)$ the rate of interest per annum.$(ii)$ the total amount of money that Geeta must pay at the end of $18$ months in order to clear the account.
View full solution →A man borrows $Rs.10,000$ at $10\%$ compound interest compounded yearly. At the end of each year, he pays back $20\%$ of the amount for that year. How much money is left unpaid just after the second year ?
View full solution →A man saves $Rs. 3,000$ every year and invests it at the end of the year at $10\%$ compound interest. Calculate the total amount of his savings at the end of the third years.
View full solution →A man borrows $ Rs. 6,000$ at $5\%$ C.I. per annum. If he repays $Rs. 1,200$ at the end of each year, find the amount of the loan outstanding at the beginning of the third year.
View full solution →Ashok borrowed $Rs. 12,000$ at some rate on compound interest. After a year, he paid back $Rs.4,000$. If the compound interest for the second year is $Rs. 920$, find:
- The rate of interest charged
- The amount of debt at the end of the second year
View full solution →Find the sum on which the difference between the simple interest and compound interest at the rate of $8\ \%\ $ per annum compounded annually would be $Rs. 64$ in $2$ years.
View full solution →On a certain sum of money, invested at the rate of $10$ percent per annum compounded annually, the interest for the first year plus the interest for the third year is $Rs. 2,652.$ Find the sum.
View full solution →Rachna borrows $Rs. 12,000$ at $10$ percent per annum interest compounded half$-$yearly. She repays $Rs. 4,000$ at the end of every six months. Calculate the third payment she has to make at end of $18$ months in order to clear the entire loan.
View full solution →The cost of a machine depreciated by $Rs. 4,000$ during the first year and by $Rs. 3,600$ during the second year. Calculate :
- The rate of depreciation.
- The original cost of the machine.
- Its cost at the end of the third year.
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