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The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:
  • a)
    Rs. 432
  • b)
    Rs. 420
  • c)
    Rs. 400
  • d)
    Rs. 444
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The compound interest compounded half yearly on a certain sum of mone...
SI = (P × R × t)/100
A = P(1+R/100)t; Cl= A-p
Given, compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.
∴ R = 10/2 = 5%
t = 1 year = 2 half years
CI = Rs. 246
P=?
A = CI + P
⇒ A = P + 246
∴ P + 246 = P (1+(5/100))2
⇒ P + 246 = P × 1.052
⇒ 246 = 1.1025P – P
⇒ 246 = 0.1025P
⇒ P = 2400
Now, SI on the same sum for 3 years at 6% per annum.
∴ R = 7%
t = 2.5 years
SI = (2400 x 7 x 2.5)/100
⇒ SI = Rs. 420
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The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:a)Rs. 432b)Rs. 420c)Rs. 400d)Rs. 444Correct answer is option 'B'. Can you explain this answer?
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The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:a)Rs. 432b)Rs. 420c)Rs. 400d)Rs. 444Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:a)Rs. 432b)Rs. 420c)Rs. 400d)Rs. 444Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:a)Rs. 432b)Rs. 420c)Rs. 400d)Rs. 444Correct answer is option 'B'. Can you explain this answer?.
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