Question
Download Solution PDFसंजना 24% प्रति वर्ष साधारण ब्याज पर ₹16,000 उधार लेती है और सावित्री 20% प्रति वर्ष साधारण ब्याज पर ₹18,200 उधार लेती है। कितने वर्षों में उनके ऋण की राशि बराबर हो जाएगी?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
संजना का मूलधन (P1) = ₹16,000
संजना के लिए दर (R1) = 24% प्रति वर्ष
सविता का मूलधन (P2) = ₹18,200
सविता के लिए दर (R2) = 20% प्रति वर्ष
प्रयुक्त सूत्र:
साधारण ब्याज (SI) = P × R × T / 100
मूलधन (A) = मूलधन (P) + साधारण ब्याज (SI)
गणनाएँ:
संजना के लिए:
A1 = P1 + (P1 × R1 × T) / 100
⇒ A1 = 16000 + (16000 × 24 × T) / 100
⇒ A1 = 16000 + 3840T
सविता के लिए:
A2 = P2 + (P2 × R2 × T) / 100
⇒ A2 = 18200 + (18200 × 20 × T) / 100
⇒ A2 = 18200 + 3640T
चूँकि उनके ऋण की राशियाँ समान हैं:
A1 = A2
⇒ 16000 + 3840T = 18200 + 3640T
⇒ 3840T - 3640T = 18200 - 16000
⇒ 200T = 2200
⇒ T = 2200 / 200
⇒ T = 11 वर्ष
∴ सही उत्तर विकल्प 2 है।
Last updated on Jul 15, 2025
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