किती मुदतीमध्ये वार्षिक चक्रवाढ व्याज 25% दराने 160000 रुपये रक्कमेपासून ते 390625 रुपये होते?

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SSC CGL Tier II Memory Based Test (6th March 2023)
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  1. 8 वर्षे
  2. 4 वर्षे
  3. 7 वर्षे
  4. 2 वर्ष

Answer (Detailed Solution Below)

Option 2 : 4 वर्षे
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Detailed Solution

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दिलेल्याप्रमाणे:

रक्कम A = 390625 रुपये

मुदद्ल P = 160000 रुपये

व्याज दर R = 25%

वापरलेले सूत्र:

चक्रवाढ व्याजावरील रक्कम

A = P(1 + \(\frac{R}{100}\) ) t

गणना:

⇒ A = P(1 + \(\frac{R}{100}\))t

⇒ 390625 = 160000(1 + \(\frac{25}{100}\))t\(\frac{390625}{160000}\) = (1 + \(\frac{1}{4}\) ) t

⇒ \(\frac{625}{256}\) = (\(\frac{5}{4}\))t

⇒ (\(\frac{5}{4}\))4 = (\(\frac{5}{4}\))t

⇒ t = 4

∴ मुदत t = 4 वर्षे.

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