समान व्याज दराने एका ठराविक रकमेवर 2 वर्षात वार्षिक चक्रवाढ अंतर्गत, आणि सरळ व्याजाने, चक्रवाढ व्याजातील फरक हा रकमेच्या 144% आहे. वार्षिक व्याज दर शोधा.

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SSC GD Constable (2022) Official Paper (Held On : 16 Jan 2023 Shift 1)
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  1. 15%
  2. 100%
  3. 120%
  4. 20%

Answer (Detailed Solution Below)

Option 3 : 120%
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दिलेली महिती:

2 वर्षांसाठी चक्रवाढ व्याज (CI) आणि सरळ व्याज (SI) मधील फरक = मुद्दलाच्या 144% (P)

संकल्पना किंवा सूत्र:

CI आणि SI मधील 2 वर्षांचा फरक P × (r ÷ 100)2 द्वारे दिला जातो

गणना:

सूत्रात दिलेली मूल्ये बदला

⇒ 144% P = P × (r ÷ 100)2

⇒ (144/100)P = P × (R/100)2

दोन्ही बाजूंनी वर्गमूळ घेणे,

⇒ 12/10 = R/100

⇒ R = 120

म्हणून, वार्षिक व्याज दर 120% आहे.

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