Simple and Compound Interest

What value will come in place of question mark $(?)$ in the number-series given below?

$72 75 81 ? 102 117$

Number of girls taking admission in an engineering college increases by $20\%$ for $2 \mathrm{years}$. In the third year admission by girls decreased by $10\%$ . If the number of girls initially was $500$, then the number of girls in the college at the end of the third year is what percent of the number of girls initially in the college?

Profits of a company XYZ Ltd. in $2017$ was $₹390625$. Profit increases to $₹456976$ in 2021. Find the growth rate of the profit of the company :

Anjali borrowed $\mathrm{Rs}.1,00,000/-$from her husband. She returned $20\%$ to her husband. Remaining. She invested in her new business believing at $10\%$ compounded annually. She has to pay $10\%$ tax on her interest per year. How much money she has at end of $3$ years? (in $\mathrm{Rs}.$)

Find the rate at $\mathrm{S}.\mathrm{I}$, at which sum becomes three times of itself in $8$ years ?

How much time it will take $\mathrm{Rs}.8000$ amounts to $\mathrm{Rs}.9261$ at $10\%$ per annum being compounded half-yearly ?

A sum of $\mathrm{Rs}.60,000$ is invested for $18$ months at $20\%$ per annum on compound interest. If it is compounded half yearly. Calculate the interest.

The compound interest at the end of one year is $\mathrm{Rs}.80$ and at the end of the second year it is $\mathrm{Rs}.87$ on an amount. Calculate the amount deposited. (approx)

A man lents amount $\mathrm{Rs}.5000$ for $4$ years compounded annually, rate of interest first two years is $7\%$ and remaining $2$ years, be $8\%$. Calculate amount be received after $4$ years.

An investor invested his half of his capital to company $\mathrm{A}$, at $5\%$ one fifth of his capital to company $\mathrm{B}$ at $8\%$ and rest be invested in stocks at $4\%$. If the simple interest for $3$ years amounts to $\mathrm{Rs}.2000$. Calculate the amount investor originally invested. (approx)

Suppose the difference between simple interest & Compound interest is $\mathrm{Rs}.100$ & Simple interest for the second year is $\mathrm{Rs}.2000$. Find the sum.

In how many years, the price of SBI stock of  $\mathrm{Rs}.8000$ will amounts to $\mathrm{Rs}.10000/-$, at $10\%$ per annum simple interest.

Calculate simple interest on the sum of $\mathrm{Rs}.1000/-$, at $10\%$ per annum for $3$ years.

Anandita borrowed $\mathrm{Rs}.72,000$ from Shivani and Shivam. Shivani charges $12\%$ p.a. compound interest and Shivam charges  $7\%$ p.a. compound interest. Find the borrowed sum from Shivam.

A certain sum of money uncreated by $72.5\%$  at a certain rate in $3$ years with interest being simple interest at the same rate of interest, in how many years would it become $4$ times itself ?

An amount is divided between Anu and Bhanu is the ration $1:2$. Anu purchased a car from his part, which depreciates $14\frac{2}{7}\%$ p.a. and Bhanu deposited his amount in a bank which pays him $20\%$ interest p.a. compounded annually. By what percentage will the total sum of money increase after two years due to investment pattern ?

Find the compound interest on $\$ 64,000$ for $1$ year $@10\%$ p.a. compounded quarterly (to the nearest integer)

Ridhvi borrowed $\mathrm{Rs}.8,000$ at $5\%$ p.a. compound interest and paid back in $3$ equal current installments. What is the amount of each installment ?

Varun Dhawan has $\$90,000$ with him. He purcehase a car, laptop and a Hat for $\$15,000$, $\$13,000$ & $\$35,000$ resp. and puts me remaining money in bank that pays compound interest $@15\%$ p.a. After 2 years he sells of the three items at $80\%$ of their original price and also withdraws his entire money. How the bank by closing me account. What is the total change is his asset ?

Sonika invested an amount of Rs. 5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.5 at the end of two years?