18 महिन्यांसाठी दसादशे 9% दराने, जेव्हा व्याज सहामाही चक्रवाढ केले जाते, ₹72,000 रकमेवरील चक्रवाढ व्याज (निकटतम ₹ पर्यंत) काढा.

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  1. ₹10,164
  2.  ₹10,475
  3.  ₹10,557
  4. ₹10,361

Answer (Detailed Solution Below)

Option 1 : ₹10,164
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दिलेले आहे:

मुद्दल (P) = ₹72,000

दर (r) = वार्षिक 9%

मुदत (t) = 18 महिने = 1.5 वर्षे

व्याज सहामाही चक्रवाढ केले जाते.

वापरलेले सूत्र:

A = P(1 + r/n)nt

येथे,

n = प्रति कालावधीत व्याज लागू केलेल्याची संख्या (सहामाही, म्हणून n = 2)

A = रास

गणना:

A = 72000(1 + 9/(2×100))2 × 1.5

⇒ A = 72000(1 + 0.045)3

⇒ A = 72000(1.045)3

⇒ A = 72000 × 1.1411

⇒ A = 82163.96

चक्रवाढ व्याज (CI) = A - P

⇒ CI = 82163.96 - 72000

⇒ CI = ₹10,163.96

निकटतम ₹ पर्यंत, CI = ₹10,164

∴ पर्याय 1 योग्य आहे.

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