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Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: Sumit invested Rs. X for 2 years at the rate of R% per annum simple interest. The interest obtained is Rs. 450 less than the interest obtained when the same sum is invested for 2 years at the rate of (R + 9)% per annum simple interest. Find the value of X. Quantity 2: Ankit invested Rs. Y for 2 years at the rate of 10% per annum compounded annually. The interest obtained is 795 less than the compound interest received by him when he invested a sum of Rs. 3000 for 2 years at the rate of 20% per annum compounded annually. Find the value of Y. Quantity 3: Difference of CI and SI obtained on a sum of Rs. Z when invested for 2 years at 10% per annum is Rs. 20. Find the value of Z. 
Suresh took a loan of Rs. 40,000 from a bank at simple interest of 25% p.a. interest for 2 years. He invested for two years compounded annually and earned an interest of Rs. 7999.2 He invested remaining amount in scheme Q which offers 10% p.a. more rate of compounded interest than scheme P for two years compounded annually. Then, find the total profit made by Suresh after paying the interest to bank?
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
A, B and C invest together in business wherein they receive profit of Rs 63,000. A reinvests his share of profit in a scheme giving 10% rate of interest compounded annually after two years and B reinvests his share of profit which gives him 20% rate of interest compounded annually at end of two years. If interest received by A and B after 2 years is Rs 3969 and Rs 8316 then find compound interest earned by C if he reinvests his share in same scheme as A did for 2 years. 
An investor is faced with a problem about where to invest his savings of 20 lakhs. Scheme A gives 10% interest compounded annually for 2 years and a simple interest of 20% for the next 3 years. If the amount has increased by less than 60%, an additional 20% is also added to it. Scheme B gives a simple interest of 10% for 2 years and a compound interest of 20% for 3 years compounded annually. If the amount has increased by less than 50%, an additional 15% is added to it. If the investor goes with the right choice, how much does he earn over his initial investment?
If the difference between the compound interest compounded annually and the simple interest on a sum at a rate of 20% per annum after 2 years is Rs. 1800 then, what is the difference between the compound interest compounded annually and the simple interest on the same sum at the same rate after 3 years?
Priya and khushi invested Rs.3000 together. Priya invested her amount at compound interest for ‘x/10’ years at x% rate interest and khushi invested half of her amount at compound interest and remaining half at simple interest at the same rate of interest for the same time period. [It is given that ‘x/10’ is a natural number] What is the value of ‘x’? Statement I: Ratio of investment of priya and khushi is 1 : 2 respectively and total sum received by them together after a particular time at x% rate of interest is Rs. 4280. Statement II: Simple interest received by khushi is Rs. 40 less than compound interest received by her. Statement III: Sum of simple interest and compound interest received by khushi after a certain time at x% rate of interest is Rs. 2500 Which of the above statement is redundant to find the answer of the given question?
A sum of Rs. 12,000 amounts to Rs. 20,736 in \(1\frac{1}{2}\) years at a certain rate per annum on compound interest, compounded half yearly. What will be the compound interest (in Rs.) of the same sum in 2 years at the same rate on compound interest. If the interest is compounded annually?
A sum invested at compound interest amounts to Rs. 3,136 in two years and Rs. 3,512.32 in 3 years at a certain rate percentage per annum, when the interest is compounded annually. What will the same sum amount to at the same rate in 8/3 years, interest compounded annually (nearest to one rupee)?
Mr. A invested Rs. 5000 in a term deposit scheme which provides interest at the rate of 6% per annum compounded semi-annually for first year and compounded quarterly for second year at same rate and compounded annually for the next two years at the rate of 8% per annum. Calculate the amount of interest to be received by Mr. A after four years.