What is the initial principal sum that accumulates Rs.132 as compound interest specifically during the second year at a 10% annual rate?
Show answer Hide answer
Answer: B. Rs. 1200
Explanation
Compound interest generated specifically during the second year equals the principal multiplied by rate and growth factor. Setting the growth equation with a ten percent rate yields eleven percent effective contribution for the second year. Dividing one hundred thirty-two by zero point eleven determines the initial principal sum of twelve hundred rupees. Compound interest accumulates across multiple periods where prior year interest earns additional interest subsequently. The interest accrued strictly in the second year reflects earnings on both the original principal and first-year interest. Solving financial algebraic equations allows precise backward calculation of unknown initial principal investment sums.
Option A suggests one thousand rupees which generates insufficient interest during the designated second year. Option C proposes thirteen hundred twenty rupees which represents a tenfold overestimation of the principal sum. Option D is incorrect because the correct principal amount of twelve hundred rupees is listed among choices.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Calculate the aggregate sum of the initial 70 even integers.
Show answer Hide answer
Answer: A. 4970
The sum of the first n even integers is calculated using the standard formula n times n plus one. Substituting seventy for n gives seventy multiplied by seventy one in the formula expression. Executing the multiplication...
Q2. Determine the interest rate percentage under which an initial principal of Rs.150 grows to Rs. 220 across 10 years.
Show answer Hide answer
Answer: B. 14/3%
Subtracting the initial principal from the final amount gives the total simple interest earned. Dividing the total interest by the ten-year duration yields the average annual interest earned. Dividing the annual interest...
Q3. What is the proportion relating the perimeters of two square figures where the first possesses a diagonal 3 times the length of the second?
Show answer Hide answer
Answer: D. 3:1
The perimeter of any square is directly proportional to the length of its side. The diagonal of a square is directly proportional to its side length by the square root of two. Since the ratio of their diagonals is three...
Q4. What fraction of a trench measuring 48m in length, 16.5m in width, and 4m in depth can be filled using the excavated soil from a cylindrical shaft of diameter 4m and length 56m?
Show answer Hide answer
Answer: B. 2/9
Calculating the volume of the cylindrical shaft requires squaring its radius and multiplying by length. Calculating the volume of the rectangular trench involves multiplying its length, width, and depth. Dividing the sha...
Q5. 90 represents what percentage of 120?
Show answer Hide answer
Answer: C. 75%
Dividing the part value of 90 by the whole baseline value of 120 gives a decimal quotient of 0.75. Converting the decimal 0.75 to a percentage by multiplying by one hundred yields exactly 75 percent. Proportional divisio...
Q6. 16 represents what percentage of 125?
Show answer Hide answer
Answer: D. None of these
Dividing sixteen by one-hundred twenty-five and multiplying by one hundred yields twelve point eight percent. Converting twelve point eight percent into a fraction gives twelve and four fifths percent. Because twelve and...