Simple and Compound Interest

Mr. Sharma invested a certain sum of money at an annual rate of r% for t years. After t years, he invested the total amount obtained, including interest, at the same annual rate of interest for another t years. If the compound interest accrued during the second period was 26% more than the simple interest accrued during the first period, and the total interest earned at the end of the second period was Rs. 4,520, determine which of the following is correct.

Emily, a college student, obtained two identical educational loans to support her academic journey for the same period. One loan came from a government-affiliated student loan programme with a 6% annual simple interest rate. Also, she acquired a separate loan from a private financial institution with a 9% annual simple interest rate. Emily successfully paid off the government-based loan 8 months later than its original maturity date. Similarly, she settled the private loan precisely on its predetermined due date. If for each of the loan, she had to pay $8,512 as the amount, what is the principal amount she borrowed from the private financial institution, and what was the duration for which she borrowed the loan from the same institution?

Ram plans to allocate $40,000 into two investment options, X and Y. He decides to invest half of the amount in option X, which offers a compound interest rate of 20% per year for two years. The remaining amount is invested in option Y, which provides a simple interest rate that is 2% higher than the rate of option X for the same duration. Quantity A Compound interest earned from investment option X after two years Quantity B Simple interest earned from investment option Y after two years

An investor is faced with a dilemma about where to invest his savings of 10 lakhs. Scheme A gives 10% interest compounded annually for 2 years and simple interest of 20% for the next 3 years. If the amount has increased less than 60%, additional 10% is also added to it. Scheme B gives a simple interest of 10% for 2 years and compound interest of 20% for 3 years compounded annually. If the amount has increased less than 50%, additional 15% is added to it. If the investor goes with the right choice, how much does he earn over his initial investment ?

Maya has Rs. 15,250 that she wants to divide into three parts. She wants to ensure that the simple interest earned on each part, invested for different periods and at different rates, is equal. If she invests the first part for 2 years at a rate of 4% per annum, the second part for 3 years at a rate of 6% per annum, and the third part for 4 years at a rate of 8% per annum, how much does she invest in the first part, the second part, and the third part, respectively?

Vikram borrows a total of Rs. 1,40,000 from three different money lenders: A, B, and C. Money Lender A gives the loan at an interest rate of 8% per annum, compounded annually; Money Lender B provides the loan amount at a simple interest rate of 10% per annum; and Money Lender C provides the loan at an interest rate of 10% per annum, compounded half-yearly. If the money borrowed from A exceeds the money borrowed from C by Rs. 700, and the total value of the loan from C at the end of first year exceeds the total value of the loan from A by Rs. 249.75, then what is the total amount paid by Vikram to Money Lender B at the end of one year?

A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year? 1. The amount of the investment at the beginning of the second year was \$4,160.00. 2. The amount of the investment at the beginning of the third year was \$4,326.40.

David borrowed a total of \$12,000 from two moneylenders, Lender A and Lender B, at different simple annual interest rates. He agreed to repay both loans in one year, such that each lender earned the same amount of interest. How much did David borrow from Lender A? (1) Lender A charged 4% simple annual interest, and Lender B charged 8% simple annual interest. (2) David borrowed more than \$5,000 from Lender A.

Amit, Rohit, and Neha started a business with same time period with investments of Rs. (b - 1,500), Rs. (b), and Rs. (b + 500) respectively. Rohit's profit is invested in a scheme that offers simple interest at the rate of 8% per annum for four years, and the interest received is Rs. 4,800. If the total profit in the business is Rs. 9,000 more than double the profit of Rohit, then which of the following statement(s) is/are correct? (A) The value of 'b' is a multiple of 15. (B) Neha gets nearly 46% of the total profit. (C) The sum of the investment of Amit & Rohit is completely divisible by 7.

Sudhir opended a savings bank account in a bank on 18^th March. His passbook has the following entries: Date Particulars Amount withdrawn (in Rs.) Amount Deposited (in Rs.) Balance (in Rs.) March, 18 By cash 1000.00 1000.00 March, 25 By Cheque 2000.00 3000.00 April, 5 To cheque 200.00 2800.00 April, 10 By cash 2500.00 5300.00 April, 18 To cash 500.00 4800.00 May, 3 To cash 1000.00 3800.00 May, 21 By cheque 3000.00 6800.00 June, 5 By cash 1500.00 8300.00 Sudhir closes the account on 18^th June. Calclate the interest earned by her at 10% per annum.

Directions: The following question is accompanied by statements A, B and C. You have to determine which of the statements is/are sufficient to answer the question. What is the rate at which interest is received by Shahrukh in investment scheme X? A. Amount received by Shahrukh in investment scheme X is 15% of the principal amount at the end of 2 years, compounded annually. B. If Shahrukh had invested Rs. 5000 in investment scheme X, he would have received Rs. 6500 after three years at simple interest. C. Shahrukh invests Rs. 2500 in investment scheme.

Directions: The following problem consists of a question and two statements numbers I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. Read the both the statements and mark your answer accordingly. A borrowed some amount of money at simple interest. At the end of 9 years, he paid a total interest Rs. 22,800. What was the amount of money he borrowed in the beginning? Statement I: A borrowed the money at the rate of 6% per annum for initial two years and then his rate of interest increased by 3% for the next three years. Statement II: A borrowed the money at the rate of 14% for the remaining time period after 5 years.

Bunty invested 3 different amounts Rs. x, y and z at rate of 25%, 10% and 15% respectively for 2 years compounded annually. Compound interest at Rs. x is 465 more than than 50% of the compound interest at Rs. z, whereas the compound interest at Rs. y is 960 less than the 50% of the compound interest at Rs. z. If y – x = Rs. 10,000, then which of the following option's value is less than the total amount invested? (Total amount invested = (x + y + z) (i) 56,525 (ii) 60.658 (iii) 61,620 (iv) 62,650 (v) 65,600

Mr. Sharma invests a certain amount of money in four different banks: Bank A, Bank B, Bank C, and Bank D. The rate of interest at Bank A is 5% per annum, at Bank B is 7% per annum, at Bank C is 9% per annum, and at Bank D is 11% per annum. After 2 years, he received a total interest of Rs. 18,000. The amount of money invested in Bank A is one-third of the amount invested in Bank B, the amount invested in Bank C is half of the amount invested in Bank B, and the amount invested in Bank D is three-fourths of the amount invested in Bank C. Find the principal amount invested in Bank C.