चक्रवाढ व्याजाने गुंतवलेली एक रक्कम 3 वर्षांत 7,800 रुपये आणि 5 वर्षांत 11,232 रुपये होते. तर व्याजदराची टक्केवारी काढा.

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SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 2)
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  1. 20%
  2. 26%
  3. 18%
  4. 15%

Answer (Detailed Solution Below)

Option 1 : 20%
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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दिलेले आहे:

एक रक्कम 3 वर्षांत 7,800 रुपये आणि 5 वर्षांत 11,232 रुपये होते.

वापरलेले सूत्र:

चक्रवाढ व्याजासाठी, अंतिम रास = 

येथे, P = मुद्दल

r = व्याजाचा दर

n = मुदत (वर्षे)

गणना:

येथे, चक्रवाढ व्याजाने 7800 रुपयांचे दोन वर्षांत 11232 रुपये होतात.

समजा, व्याजाचा दर = R

म्हणून, 11232 = 

⇒ [(100 + R)/100]2 = 11232/7800

⇒ [(100 + R)/100]2 = 144/100

⇒ [(100 + R)/100]2 = (12/10)2

⇒ [(100 + R)/100] = (12/10)

⇒ 100 + R = 1200/10 = 120

⇒ R = 120 - 100 = 20

∴ व्याजदराची टक्केवारी = 20%

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