₹x की राशि 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?

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SSC GD Constable 2025 Official Paper (Held On: 06 Feb, 2025 Shift 1)
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  1. 39000
  2. 42000
  3. 41000
  4. 40000

Answer (Detailed Solution Below)

Option 3 : 41000
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Detailed Solution

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प्रयुक्त 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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