Simple and Compound Interest

Refer to the information given below and answer the following question.
Lala Ramdayal Upadhyay deposited a certain sum of money in the Bank of Cozyland in the beginning of the year $1990$ on S.I. @ $10$% p.a. After one year, he withdrew half of the new amount. At the end of $1991$, he again withdrew half of the new amount. After one year, he withdrew half the new amount. The remaining money was kept in the bank and he finally withdrew the entire sum of Rs. $18300$ at the end of $1993$ and closed the account.

Had Lala Ramdayal not disturbed his money for the entire period of deposit, then at the end of $1993$, he would have received (approx.)

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 :

A man takes a loan of $₹200000$ from a bank, to return in $3$ years at a rate of $20\% p.a.$ interest. The person returns $₹90000$ and $₹40000$ when primary and second year come. What proportion of cash does he get to come in the third year to settle the loan$?$

A B and C invested their respective savings in a scheme, which offered compound interest at $20\%$p.a. for two years and received a total interest of $₹ 1694$. If A and C invested double of their respective savings in another scheme, which offered simple interest at $10\%$ p.a. for two years and received the total interest of $₹ 1100$, then find the difference between savings of A and C together and the savings of B.

The simple interest accrued in $3$ years on a principal of $₹ 25,000$ at the rate of R $\%$ is $\frac{{\mathrm{x}}^{\mathrm{th}}}{20}$ of the principal, then which of the following is true?

Mohan invested a sum of the amount at the rate of $15\%$ SI per annum for two years and received a total amount of $₹9984$. He invested the same amount at the rate $\mathrm{x}\%$ per annum at CI for two years and he received interest $₹6500$ more as compared to the Simple Interest, then find the value of $\mathrm{x}\%$ (approximately.)

A man invested an amount of $₹ 12000$ in a scheme offering compound interest at the rate of $10\%$ for the first year, $12 1/ 2$ for the second year, and $20\%$ for the remaining time. Find the C.I. offered to him at the end of $2$years and $4$months?

Direction: Solve the question
If a person invested $6000$at $T\%$ S.I for $3 years$ and the same amount at $(\mathrm{T} + 5)\%$ CI for $2 years$ and the difference between both interests is $₹60$ then find $T?$

Direction: Solve the question:
If A invested $₹12000$ at some rate of interest of Simple interest and B joined him after $3$ months and investing $₹16000$ at the same rate of interest. If A leaves before $2$ months of completion, then what will be the share of B’s profit after $1 year$ if the total profit is $₹22000$$?$

A man invested $₹\mathrm{x}$ in scheme A at $10\%$ simple interest and $₹(\mathrm{x}+500)$ in scheme B at $10\%$ compound interest. The amount received after two years from scheme B is $₹640$ more than that from scheme A. Find the principal invested in scheme B.

Ashutosh lends two equal sums, one at the rate of $13\%$ per annum for five years and the other at the rate of $9\%$ per annum for six years, both at simple interest. If the difference between the interests accrued in the two cases is $₹ 1320$, find the sum.

Quantity I: A man invested $₹ 5900$ for $3$ years in a scheme offering R$\%$ p.a. at SI and received $₹ 3186$ as interest after $3$ years. If the man invested $₹ 7900$ at $(\mathrm{R} + 5)\%$ p.a. at SI for $3$ years, then find interest received by the man (in $₹$.).

Quantity II: A man invested $₹ \mathrm{X}$ at $13\%$ p.a. at CI for $2$ years and interest received by him after $2$ years is $₹ 2325.96$. Find X (in $₹$).

Aman invests a certain sum-$₹\mathrm{X}$ for two years in scheme A offering compound interest at $20\%$ p.a. (compounded annually). He also invests $₹(\mathrm{X}-1600)$ in scheme B for three years offering simple interest at $10\%$ p.a. The interest he received from scheme A was twice the interest he received from scheme B. What is the sum of money that Aman had invested in scheme B?

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

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 ?

Dan invested a certain sum in scheme $\text{A}$, which offers simple interest at the rate of $8\%$ p.a. for $4$ years. He also invested $₹5,000$ in scheme $\text{B}$, which offers compound interest (compounded annually) at $10\%$ p.a. for $2$ years. If the interest earned from scheme $\text{A}$ is $4/5th$ of the interest earned from scheme $\text{B}$. What is the sum invested in scheme $\text{A}$?

A sum of Rs. $9,000$ was invested in two different Savings Schemes. Scheme A offered Simple Interest at the rate of $16\%$ p.a. while Scheme B offered Compound Interest at the rate of $16\%$ p.a., with semi-annual compounding. The amount received after two years from Scheme A was eight times the amount received from Scheme B. What were the approximate amounts invested in Scheme A and Scheme B respectively?

There is $60\%$ increase in an amount in $6$ years at simple interest. What will be the compound interest of Rs. $14,000$ after $3$ years at the same rate?

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?