Calculation of Compound Interest

What is the value of '$x$' in the following questions?

$24\% of 250 - x = 18\% of 50$

Find the principal amount borrowed by him. A man took a loan from a bank at the rate of $12\%$ per annum at simple interest. After$3$ Years he had to pay $₹5,400$ as interest only for the period.

A leak was found in a ship when it was$77 \mathrm{km}$ from the shore. It was found that the leak admits $2.25 \mathrm{tones}$ of water in $5.5 \min$. $92 \mathrm{tones}$of water will be sufficient to sink the ship. But the pumps can throw out $12 \mathrm{tones}$an $\mathrm{hour}$. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.

The difference between simple interest and compound interest on $₹8000$ for $3 \mathrm{years}$ at $5\%$ is:

Kamal borrows Rs. $500$ from a bank. If the bank charges interest at $6\%$ per annum, how much amount shall he pay after $2$ years ?

If an amount of money grows up to $₹4500$ in $2 \mathrm{years}$ and up to $₹5000$ in $3 \mathrm{years}$ on compound interest, what is the sum?

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

Raju lends a sum of $₹6,000$ to Krishna at the rate of $10\% \mathrm{p}.\mathrm{a}.$ compounded annually. Find the amount to be paid by Krishna to Raju at the end of $2 \mathrm{years}$.

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 difference between simple and compound interest on a certain sum of money for $2 \mathrm{years}$ at $4\%$ per annum is $₹1$. The sum of money 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 the population of a town at present is ₹$10648$ and the rate of increment is $10\%$ Per year. What was the population before $3$ Years ?

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

8 ÷ 4 - 6 + 3 × 4 ?

Ramu borrowed Rs. 20,000 from two persons he paid 6% interest to one and 8% per annum to the other. In one year he paid total interest Rs. 1280. How much did he borrow at 8% rate ?

A sum of Rs. 2,600 is lent in two parts so that the interest on the first part for a period of 3 years at 5% may be equal to the interest on the second part for 6 years at 4%. The second part is equal to :

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?

The Simple interest on a certain sum of money for $$3\frac { 2 }{ 2 } $$ years at 8% per annum is Rs. 57 less than the simple interest on the same sum for $$5\frac { 1 }{ 2 } $$ years at 12% per annum. Find the sum ?

Mayank invested a certain sum of money at $10\%$ per annum compounded yearly. Aditya invested exact that sum at the same rate of interest per annum compounded half yearly. If Aditya gets $₹231$ more than Mayank in $1\frac{1}{2}$ years, find out the sum invested.

A man invests $₹3,072$ for two years at C.I. After one year the money amounts to $₹3,264$. Find the rate of interest and the amount due at the end of $2$nd year.

If the rate of compound interest for the first and second year are $4\%$ and $5\%$ respectively, then find the compound interest on $₹25000$ for $2$ years.