Multiple choice

Anvesha borrowed Rs.1500 from Kavya at certain rate of simple interest. After 18 months, she again borrowed Rs.500 from her at simple interest but at 3 times the rate of interest than the previous one. If she has to pay an interest of Rs.262.50 at the end of 2 years, then find the initial rate of interest? अन्वेषा ने साधारण ब्याज की निश्चित दर पर कविता से 1500 रुपये उधार लिया। 18 महीनों के बाद, उसने फिर से साधारण ब्याज पर 500 रुपये उधार लिया लेकिन पहले की तुलना में 3 गुना ब्याज दर पर उधार लिया। यदि उसे 2 साल के अंत में 262.50 रुपये का ब्याज चुकाना पड़ा, तो ब्याज की प्रारंभिक दर ज्ञात कीजिए?

  1. 6%

  2. 12%

  3. 15%

  4. 9%

  5. None of these इनमें से कोई नहीं
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E Correct answer
Explanation

Let's verify: First loan of Rs.1500 at rate r% for 2 years gives interest = 1500 × r × 2 / 100 = 30r. Second loan of Rs.500 at 3r% for 6 months (from 18 months to 24 months) gives interest = 500 × 3r × 0.5 / 100 = 7.5r. Total interest = 30r + 7.5r = 37.5r = 262.50, so r = 7%. Since 7% is not among the given options, the correct answer is 'None of these'.

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