तीन वर्षों के लिए 6% प्रति वर्ष की निश्चित राशि पर साधारण व्याज ₹1,200 है तो समान धनराशि पर समान दर से दो वर्षो के लिए चक्रवृद्धि ब्याज कितना होगा?

This question was previously asked in
MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. ₹ 724
  2. ₹ 816
  3. ₹ 824
  4. ₹ 1,216

Answer (Detailed Solution Below)

Option 3 : ₹ 824
Free
MPPGCL JE Electrical Full Test 1
100 Qs. 100 Marks 120 Mins

Detailed Solution

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दिया गया है:

साधारण ब्याज (SI) = ₹ 1,200

दर (R) = 6% प्रति वर्ष

समय (T) = 3 वर्ष

प्रयुक्त सूत्र:

साधारण ब्याज (SI) = (P × R × T) / 100

चक्रवृद्धि ब्याज (CI) = P (1 + R/100)n - P

गणना:

मूलधन (P) ज्ञात करने के लिए:

साधारण ब्याज (SI) = (P × R × T) / 100

₹ 1,200 = (P × 6 × 3) / 100

₹ 1,200 = (18P) / 100

P = (₹ 1,200 × 100) / 18

P = ₹ 6,666.67

अब, 2 वर्षों के लिए चक्रवृद्धि ब्याज (CI) ज्ञात करने के लिए:

CI = P (1 + R/100)n - P

CI = ₹ 6,666.67 (1 + 6/100)2 - ₹ 6,666.67

CI = ₹ 6,666.67 (1 + 0.06)2 - ₹ 6,666.67

CI = ₹ 6,666.67 (1.06)2 - ₹ 6,666.67

CI = ₹ 6,666.67 × 1.1236 - ₹ 6,666.67

CI = ₹ 7,490.670 - ₹ 6,666.67

CI = ₹ 824

समान राशि पर समान दर से दो वर्षों का चक्रवृद्धि ब्याज लगभग ₹ 824 है।

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