The ratio of compound interest and simple interest on a certain sum at the…
2023
The ratio of compound interest and simple interest on a certain sum at the rate of 4% per annum for 2 years is :
- A.
52 : 51
- B.
52 : 50
- C.
51 : 50
- D.
53 : 50
Attempted by 38 students.
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Correct answer: C
Let the principal be P.
Simple Interest (SI) for 2 years at 4% per annum:
SI = P × 4/100 × 2 = 0.08P
Compound Interest (CI) for 2 years at 4% per annum:
CI = P(1 + 4/100)^2 - P = P(1.04)^2 - P = 1.0816P - P = 0.0816P
Ratio of CI to SI:
CI : SI = 0.0816P : 0.08P = 816 : 800 = 51 : 50
हिन्दी उत्तर:
माना मूलधन P है।
2 वर्षों के लिए 4% प्रति वर्ष की दर से साधारण ब्याज (SI):
SI = P × 4/100 × 2 = 0.08P
2 वर्षों के लिए 4% प्रति वर्ष की दर से चक्रवृद्धि ब्याज (CI):
CI = P(1 + 4/100)^2 - P = P(1.04)^2 - P = 1.0816P - P = 0.0816P
CI और SI का अनुपात:
CI : SI = 0.0816P : 0.08P = 816 : 800 = 51 : 50