Simple and Compound Interest

The position of how many digits in the number $\text{'}763162489\text{'}$, will remain unchanged after the digits are rearranged in descending order within the number from the right?

$₹6000$, when invested at a certain rate at SI for $2$ years, it fetches $₹1200$. If the same sum is invested at the same rate for a year compounded half–yearly, then find compound interest

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 :

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 ?

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?

How much will be the compound interest to be paid on a principle amount of Rs. 85,000 after 3 years at the rate of 6 p.c.p.a.?

Mr. Khanna took a loan of Rs. $10,000$ on simple interest for two years at the rate $3$ p.c.p.a.. The total amount that he will be paying as interest in $2$ years is $3\%$ of his monthly salary. What is his monthly salary?

There is $50\%$ increase in an amount in $5$ years at simple interest. What will be the compound interest of $\mathrm{Rs}. 10,000$ after $2$ years at the same rate?

If the difference between the compound interest and simple interest on some principal at $10\%$ for $2$ years is $Rs. 34$, then find out the principal. 
 

A bank offers $10\%$ compound interest calculated on half-yearly basis. A customer deposits Rs. $10,000$ each on $1^{st}$ January and $1^{st}$ July of a year. At the end of the year, the total interest he would have received is:

An equal sum is invested for six years in Scheme $P$ offering simple interest at $r\%$ p.a. and in Scheme $Q$ for two years offering compound interest at $10\%$ p.a. (compounded annually). The interest earned from Scheme $P$ is double the interest earned from Scheme $Q$. Had the rate of interest been $(r + 3)\%$ simple interest p.a. in Scheme $P$, the difference in the interests earned from both the schemes would have been $Rs. 5,460$, what was the sum invested in each of the schemes?

The difference between the simple interest and the compound interest on a certain sum of money for three years at $5\%$ per annum is $Rs. 114.375$. The sum is:

The difference between the amount of compound interest and simple interest accrued on an amount of 26,000 at the end of 3 years is 2994.134. What is the rate of interest in pcpa?

The compound interest on a sum of money at $30\%$ per annum for $2$ years is $2\frac{5}{9}$ times the simple interest accrued on a sum of $Rs. 4500$ at $15\%$for $2$ years. What is the sum of money?

If the compound interest on a certain sum of money at the rate of $5\%$ per annum for $3$ years is $Rs. 630.50$, then what will be the simple interest for $18$ months on the same amount of money at the same rate of interest?

Ravi borrowed some money at the rate of $4\%$ per annum for the first three years, at the rate of $8\%$ per annum for the next two years and at the rate of $9\%$ per annum for the period beyond $5$ years. If he pays a total simple interest of $₹19,550$ at the end of $7$ years, how much money did he borrow?

Ram had Rs. 2 lakh, part of which he lent at 15% per annum and rest at 12% per annum. Yearly interest accured was Rs. 27600. How much did he lent at 15%?

Mohan lal left a sum of Rs. 750000 for his children Abhinav and Mukund who are 15 years and 16 years at present. If the amounts are lent out at 7% compound interest and they got equal amounts at their 18th age then what is the present worth of the amount due to Abhinav?