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

Question

Question

This question was previously asked in

SSC CGL Tier II Memory Based Test (6th March 2023)

Answer 1

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.