Multiple choice

A sum of Rs. 50440 is divided into three parts and lent out for 2 years, 3 years and 4 years respectively. If the rate of compounded interest be 5% and the amount of each part become same after the completion of time in each case, find the difference between the second and first part. 50440 रू. की एक धनराशि तीन भागों में बांटी जाती है और क्रमशः 2 वर्ष, 3 वर्ष और 4 वर्ष के लिए उधार दी जाती है। यदि चक्रवृद्धि ब्याज की दर 5ः है और प्रत्येक स्थिति में समयावधि पूर्ण होने के पश्चात प्रत्येक भाग से प्राप्त धनराशि समान है। दूसरे और पहले भाग में अन्तर ज्ञात कीजिए।

  1. Rs. 800

  2. Rs. 820

  3. Rs. 840

  4. Rs. 880
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C Correct answer
Explanation

Let final amount = A. First part (2 years): A = P₁(1.05)², so P₁ = A/(1.05)². Second part (3 years): P₂ = A/(1.05)³. Third part (4 years): P₃ = A/(1.05)⁴. Setting P₁ + P₂ + P₃ = 50440 and solving gives the values. Difference between second and first parts is Rs. 840.

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