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Find the principal if compound interest is charged on the principal at the rate of 16 2/3 % per annum for two years and the sum becomes Rs. 196.

  • a)
    Rs. 140

  • b)
    Rs. 154

  • c)
    Rs. 150

  • d)
    Rs. 144

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the principal if compound interest is charged on the principal at...
Let's solve this step by step:


Understanding the problem:



  • We need to find the principal amount.

  • The rate of interest is 16 2/3% per annum, which is equivalent to 50/3%.

  • The time period is 2 years.

  • The final amount (principal + interest) is Rs. 196.



Formula for compound interest:



  • Amount (A) = Principal (P) * (1 + Rate/100)^Time



Substituting the values:



  • 196 = P * (1 + 50/300)^2

  • 196 = P * (7/6)^2

  • 196 = P * 49/36



Solving for Principal (P):



  • P = 196 * 36 / 49

  • P = 144



Therefore, the principal amount is Rs. 144.


So, the correct answer is option 4: Rs. 144.
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Most Upvoted Answer
Find the principal if compound interest is charged on the principal at...
Given:
Rate of interest = 16 2/3% = 50/3%
Time = 2 years
Amount = Rs. 196

Let the principal be P.
Formula used: Amount = P(1+R/100)^T

Calculation:
P(1+50/3/100)^2 = 196
P(5/3)^2 = 196
P = 196*(9/25)
P = Rs. 144

Therefore, the principal is Rs. 144.
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Find the principal if compound interest is charged on the principal at the rate of 16 2/3% per annum for two years and the sum becomes Rs. 196.a)Rs. 140b)Rs. 154c)Rs. 150d)Rs. 144Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Find the principal if compound interest is charged on the principal at the rate of 16 2/3% per annum for two years and the sum becomes Rs. 196.a)Rs. 140b)Rs. 154c)Rs. 150d)Rs. 144Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the principal if compound interest is charged on the principal at the rate of 16 2/3% per annum for two years and the sum becomes Rs. 196.a)Rs. 140b)Rs. 154c)Rs. 150d)Rs. 144Correct answer is option 'D'. Can you explain this answer?.
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