Compound Interest

The rate of depreciation of a car is $10\%$ per annum. Its present worth is$₹81000$. What was its worth $2 \mathrm{years}$ ago?

In what time will $₹1,000$ amount to $₹1,331$ at $20\%$ per annum, compounded half -yearly?

If $₹7,500$ has been borrowed at an annual compound rate of interest of $4\% \mathrm{p}.\mathrm{a}.$. How much money will have to be returned after two years?

Find compound interest on Rs. 225,00 at 4% per annum for 2 years, compounded annually ?

Mr. Maitray invested money in two schemes A and B offering C.I. at the rate of $8\% \mathrm{p}.\mathrm{a}.$ & $9\% \mathrm{p}.\mathrm{a}.$ respectively. If the total amount of interest incurred through the two schemes together in two years was $₹4818.30$ and the total amount invested was $₹27,000$. What was the amount invested in scheme A?

A sum of money lent out at compound interest increases in value by 50% in 5 years. A person wants to lend three different sums x, y and z for 10, 15 and 20 years respectively at the above rate in such a way that he gets back equal sums at the end of their respective periods. The ratio x : y : z is

A sum of $₹1000$ is invested at $12\%$ interest and the interest is compounded half-yearly. What will be total amount at the end of one year?

A father left a will of ₹$16400$ for his two sons aged $17$ and $18$ years.They must get equal amounts when they are $20$ years, at $5\%$ compound interest. Find the present share of the younger son$?$

The compound interest on $₹ 6000$ for $3$  years at $8\%$ for the first year; $10\%$ for the second year and $12\%$ for the third year is:

An amount of Rs. 50440 borrowed at 5% per annum compounded yearly, is to be repaid in 3 equal annual installments. Find the amount of each installment ?

If + means ÷, - means +, × means -, and ÷ means ×, then what will be the value of

8 ÷ 4 - 6 + 3 × 4 ?

Find the compound interest on $₹ 10,000$ in $2$ years at $4\%$ per annum, the interest being compounded half-yearly.

Under a scheme of investment, the rate of interest is $4\%$ and the interest is compounded quarterly. What will be the amount if a man invests $₹2000$ for $1 \mathrm{year}$ under this scheme?

What will be the compound interest of $₹48000$, at the rate of $10\%$ for a period of $1\frac{1}{2}$years, if the rate of interest is calculated on the basis of  $6$ months?

Find out the sum, for which the difference, between the compound and simple interest, for $3$ years at the rate of $10\%$ per annum, would be ‘$31$'?

The effective rate of interest corresponding to a nominal rate $7\%$ per annual convertible quarterly is

What is the compound interest (in $\mathrm{Rs}.$) on a sum of $\mathrm{Rs}. 12,600$ for $1^{\frac{1}{2}}$ years at $20\%$ per annum if the interest is compounded half yearly? (Nearest to a Rupee)

If the desired future value after $5$ years with $18\%$ interest rate is $\mathrm{Rs}.1,50,000$, then the present value (in $\mathrm{Rs}.$) is (Given that ${\left(1.18\right)}^5= 2.2877$)

A loan of $₹3900$ is to be returned in two equal annual instalments. If the rate of interest is $8\%$ per annum, compounded annually, then the total interest charged (in $₹$) under this instalment plan is

Find the compound interest if an amount of $\mathrm{Rs}. 50,000$ is deposited in a bank for one year at the rate of $8\%$ per annum compounded semi annually