Question
Download Solution PDF₹x की राशि \(2 \frac{1}{2}\) वर्षों में 12% वार्षिक ब्याज दर पर ₹54571 हो जाती है, जबकि ब्याज प्रति 10 महीने बाद संयोजित होता है। x का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
A = P × (1 + R/100)n
गणना:
माना, P = x
चूँकि ब्याज हर 10 महीने बाद संयोजित होता है, इसलिए 2.5 वर्षों में संयोजन अवधियों की संख्या = (30 महीने / 10 महीने) = 3
10 महीनों के लिए प्रभावी दर = 12 × (10 / 12) = 10%
इसलिए,
A = x × (1 + 10/100)3
54571 = x × (110/100)3
54571 = x × (1331 / 1000)
x = 54571 × (1000 / 1331)
x = 41000
x का सही मान ₹41000 है
Shortcut Trick
10% = 1/10
p : A = 10 : 11
3 बार दोहराया गया है:
10 : 11
10 : 11
10 : 11
_________
1000 : 1331
प्रश्न के अनुसार:
1331 इकाई = 54571
1 इकाई = 54571 / 1331 = 41
तब, मूलधन = 1000 इकाई = 41000
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