Question
Download Solution PDFS दो खातों में कुल ₹50,000 जमा करता है जो क्रमशः 8% और 12% वार्षिक साधारण ब्याज देते हैं। एक वर्ष के बाद, उसे कुल ₹5,200 मिलते हैं। 12% ब्याज दर देने वाले खाते में वह कितना पैसा जमा करता है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
मूलधन (P) = 50,000 रुपये
पहली दर = 8%; दूसरी दर = 12%
कुल साधारण ब्याज (S.I) = 5200 रुपये
प्रयुक्त सूत्र:
साधारण ब्याज (S.I.) = (P × R × T)/100
जहाँ P = मूलधन; R = दर; T = समय
गणना:
मान लीजिए कि 12% की दर पर राशि = x
तो 8% की दर पर राशि = (50,000 - x)
प्रश्न के अनुसार:
⇒ (50,000 - x) × 8% + x × 12% = 5200
⇒ (50,000 × 8%) - (x × 8%) + (x × 12%) = 5200
⇒ (x × 4%) = 5200 - 4000
⇒ x = (1200 × 100)/4 = 30000 रुपये
∴ सही उत्तर 30000 रुपये है।
Shortcut Trickगणना:
कुल दर = (5200 × 100)/50000 = 52/5 = 10.4%
अब
8% पर मिश्रधन : 12% पर मिश्रधन = 1.6 : 2.4
⇒ 2 : 3
⇒ 5 इकाई = 50000
⇒ 3 इकाई = (50000 × 3)/5 = 30000 रुपये
∴ सही उत्तर 30000 रुपये है।
Last updated on Jul 7, 2025
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