Simple and Compound Interest

Each of the questions below consists of a question, followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

($1$) If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
($2$) If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
($3$) If the data given in Statement I alone or in Statement II alone is sufficient to answer the question.
($4$) If the data given in both the Statements I and II together is not sufficient to answer the question.
($5$) If the data in both the Statements I and II together is necessary to answer the question.

How many doctors are practising in this town ?

I. There is one doctor per seven hundred residents.
II. There are, $16$ Wards with each ward having as many doctors as the number of wards.

In this question, relationship between different elements is shown in the statements. These statements are followed by two conclusion $\mathrm{I} \mathrm{and} \mathrm{II}.$

Statements: $\mathrm{king}=\mathrm{rocks}\ge \mathrm{hills}<\mathrm{valley}, \mathrm{valley}\le \mathrm{rocks}\ge \mathrm{bulls}$

Conclusions:
$$\begin{gathered} \mathrm{I}. \mathrm{bulls}\ge \mathrm{king} \\ \mathrm{II}. \mathrm{king}>\mathrm{bulls} \end{gathered}$$

Read the information carefully and answer the following questions:
A $+$ B means A is the father of B.
A $-$ B means A is the sister of B.
A $\$$ B means A is the wife of B.
A $\%$ B means A is the mother of B.
A $\times$B means A is the son of B.

Which of the given expressions indicates that M is daughter of D?

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 ?

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?

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?

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%?