Multiple choice

Raghav borrowed a total amount of Rs.30000, a part of it at simple interest of 12% per annum and the remaining at 10% per annum. If at the end of two years he paid in all Rs.36480 to settle the loan amount, then what was the amount borrowed at 12% per annum? राघव ने 30000 रुपये की कुल राशि उधार ली, इसका एक हिस्सा वह प्रति वर्ष 12% की साधारण ब्याज की दर से और शेष को 10% प्रति वर्ष की दर से । यदि दो वर्ष के अंत में उसने ऋण राशि को चुकाने के लिए कुल 36480 रुपये का भुगतान किया, तो प्रति वर्ष 12% पर उधार राशि क्या थी?

  1. Rs.16000

  2. Rs.18000

  3. Rs.17500

  4. Rs.12000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let amount at 12% = x, then amount at 10% = (30000 - x). Simple interest for 2 years: at 12%, interest = x × 0.12 × 2 = 0.24x; at 10%, interest = (30000-x) × 0.10 × 2 = 0.20(30000-x). Total repayment = 30000 + 0.24x + 0.20(30000-x) = 36480. So 30000 + 0.24x + 6000 - 0.20x = 36480, giving 36000 + 0.04x = 36480, so 0.04x = 480, x = 12000. The claimed answer is correct.

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