Question
Download Solution PDFयदि समान ब्याज दर पर, 2 वर्षों में, साधारण ब्याज ₹42 और चक्रवृद्धि ब्याज ₹51 है, तो मूलधन (₹ में) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
साधारण ब्याज (SI) = ₹42
चक्रवृद्धि ब्याज (CI) = ₹51
समय (T) = 2 वर्ष
प्रयुक्त सूत्र:
SI = (P × R × T) / 100
CI = P (1 + R/100)T - P
गणना:
42 = (P × R × 2) / 100
⇒ PR = 42 × 50
⇒ PR = 2100 ...(1)
51 = P (1 + R/100)2 - P
⇒ 51 = P [(1 + R/100)2 - 1]
⇒ 51 = P [1 + 2R/100 + (R/100)2 - 1]
⇒ 51 = P [R/50 + R2/10000]
⇒ 510000 = P [200R + R2]
⇒ 510000 = 200PR + PR2 ...(2)
(1) को (2) में प्रतिस्थापित करने पर:
⇒ 510000 = 200 × 2100 + 2100 × R
⇒ 510000 = 420000 + 2100R
⇒ 90000 = 2100R
⇒ R = 90000 / 2100
⇒ R = 300 / 7
R को (1) में प्रतिस्थापित करने पर:
⇒ P × (300 / 7) = 2100
⇒ P = 2100 × (7 / 300)
⇒ P = 7 × 7 = 49
∴ सही उत्तर विकल्प (3) है।
Last updated on Jun 12, 2025
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