Multiple choice

A certain sum of money at compound interest, compounded yearly, grows to Rs. 146410 in 4 years and to Rs. 161051 in 5 years. Find the principal. एक निश्चित धनराशि चक्रवृद्धि ब्याज दर वार्षिक संयोजित होने पर 4 वर्षों में 146410 रू. और 5 वर्षो में 161051 रू. हो जाती है। मूलधन ज्ञात कीजिए।

  1. Rs./रु.100000

  2. Rs./रु.120000

  3. Rs./रु.150000

  4. Rs./रु.200000
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A Correct answer
Explanation

Let the principal be P and rate be r%. Amount after 4 years = P(1 + r/100)^4 = 146410. Amount after 5 years = P(1 + r/100)^5 = 161051. Dividing: (1 + r/100) = 161051/146410 = 1.1, so r = 10%. Substituting back: P(1.1)^4 = 146410. Since 1.1^4 = 1.4641, we get P × 1.4641 = 146410, giving P = 100000.

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