Multiple choice

A sum of money was lent at 10% per annum, compounded annually, for 2 years. If the interest was compounded half - yearly, he would have received Rs.660.75 more. find the sum. एक निश्चित धनराशि को 10% ब्याज दर पर 2 वर्षों के लिए उधार दिया जाता है। यदि ब्याज अर्द्धवार्षिक ब्याज की दर से लगाया जाय, तो वह रु.660.75 अधिक प्राप्त करता है। धनराशि ज्ञात कीजिये।

  1. Rs./रु.120000

  2. Rs./रु.135000

  3. Rs./रु.150000

  4. Rs./रु.144000
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A Correct answer
Explanation

Let sum be P. At 10% annual for 2 years: A = P(1.1)² = 1.21P, interest = 0.21P. At 5% half-yearly for 4 periods: A = P(1.05)⁴ = P × 1.21550625, interest = 0.21550625P. Difference = 0.00550625P = 660.75. So P = 660.75/0.00550625 = Rs 120000. The extra compounding period makes a significant difference.

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