चक्रवाढ व्याजदराने गुंतविलेली 2500 रुपयांची रक्कम 1 वर्षात 4% व्याज दराने सहामाही व्याज वाढत असतांना किती होईल?

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 2601 रुपये
  2. 2656 रुपये
  3. 2610 रुपये
  4. 2600 रुपये

Answer (Detailed Solution Below)

Option 1 : 2601 रुपये
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Detailed Solution

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दिलेल्याप्रमाणे:

मुद्दल = 2500 रुपये

मुदत =  1 वर्ष

व्याजदर % = 4 दरसाल 

संकल्पना:

जेव्हा कोणत्याही रकमेवर सहामाही व्याज वाढत जाते तेव्हा व्याजदर निम्मा होईल आणि मुदत दुप्पट होईल.

चक्रवाढ व्याज दरामध्ये क्रमशः वाढ होते.

सूत्र :

{a + b + (a × b)/100}

गणना:

सहामाही दर % = 2%

अनुक्रमे व्याज दर = {2 + 2 + (2 × 2) / 100}

⇒ {4 + 0.04}%

⇒ 4.04%

⇒ 4.04%

मुद्दल = 2500 रुपये

दर % = 4.04%

व्याज = (2500 × 4.04) / 100 = 101 रुपये

रक्कम = मुद्दल + व्याज

∴ 2500 + 101 = 2601 रुपये

व्याजदर =  4% वार्षिक = 2% सहामाही

∴ एका वर्षानंतरची रक्कम = 2500 102 (102/100) × (102/100) = 2601

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