Multiple choice

Suresh gave Rs.15000 on loan. Some amount he gave at 6% per annum simple interest and remaining amount at 12% per annum simple interest. After two years, she got Rs. 2580 as interest, then the amounts given at 6% and 12% per annum simple interest are, respectively? सुरेश ने लोन पर 15000 रुपये दिए। कुछ राशि उन्होंने प्रति वर्ष 6% साधारण ब्याज और शेष राशि 12% प्रति वर्ष साधारण ब्याज पर दी. दो वर्ष के बाद उसे ब्याज के रूप में 2580 रुपए मिला, तो 6% और 12% प्रति वर्ष साधारण ब्याज पर दी गई राशि क्रमशः क्या हैं?

  1. 7200, 7800

  2. 8500, 6500

  3. 6500, 8500

  4. 6200, 8800
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B Correct answer
Explanation

Let amount at 6% = x, amount at 12% = 15000-x. Interest for 2 years: at 6% = x*0.06*2 = 0.12x, at 12% = (15000-x)0.12*2 = 0.24(15000-x) = 3600-0.24x. Total interest = 0.12x + 3600-0.24x = 3600-0.12x = 2580. So 0.12x = 1020, x = 8500. Amounts: 8500 at 6%, 6500 at 12%.

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