Application of Formula of CI

Q.

A man borrows $Rs.10,000$ at $5\%$ per annum compound interest. He repays $35\%$ of the sum borrowed at the end of the first year and $42\%$ of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?

Q.

A sum is divided between A and B in the ratio of 1:2. A purchased a car from his part, which depreciates $\frac{100}{7}$ $\%$ per annum and B deposited his amount in a bank, which pays him$20\%$ interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approx)?

1. 20 %

2. 25 %

3. 28 %

4. 18 %

Q.

The rate of increase in population is 25%. What will be the population after 2 years if the initial population is 20000?

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Q. The compouned interest, calculate yearly, on a certain sum of money for the second year is Rs. 1, 089 and for the third year it is Rs. 1, 197.90. Calculate the rate of interest and the sum of money

1. 12%, Rs. 400
2. 13%, Rs. 700
3. None of these
   
4. 11%, Rs. 800

Q. The difference between C.I. and S.I. on Rs.7, 500 for two years is Rs.12 at the same rate of interest per annum. Find the rate of interest.

Q.

The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?
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Q. A person borrowed some money on compound interest and returned it in four years in equal installments. If the rate of interest is $15\%$ p.a. and annual installment is Rs. $320000$, find the sum borrowed.

1. Rs. $620$
2. Rs. $617.49$
3. Rs. $620.14$
4. Rs. $637$

Q. If $x$ = $0.7$ then what is the value of $2x$?

Q. a man borrows Rs 12000 at a compound interest rate of 8% p.a. for 2 years. the lender puts the condition that if the borrower fails to clear off his debt by the end of 2 years, he will increase the rate of interest to 10% p.a. how much money will the man have to pay at the end of 3 years to clear off his debt?

Q. The difference between C. I. and S. I. on Rs. $10,000$ for two years is Rs. $64$ at the same rate of interest per annum. Find the rate of interest.

1. $6$
2. $7$
3. $8$
4. $9$

Q. If 100 is increased by 40% then decreased by 40% then the resulting number is ?

Q. Find the principal amount for the rare of interest $10$% p.a..time $3$ years and compound interest earned is Rs.$993$.