Multiple choice

A person invests Rs.8000 in two types of deposits. Part of it he invests at the rate of 10% per annum at simple interest and the rest on simple interest at the rate of 12% per annum. If he receives Rs.10700 in all after 3 years. How much money did he invest at 12%? एक व्यक्ति 8000 रू. दो तरह के खातों में जमा करता है। इसका एक भाग वह 10% साधारण ब्याज की दर से निवेश करता है और शेष भाग को 12% साधारण ब्याज की दर से निवेश करता है। यदि वह इन सभी से 3 वर्ष के बाद 10700 रू. प्राप्त करता है। 12% पर उसने कितनी धनराशि निवेश की थी?

  1. Rs. 5000

  2. Rs. 4000

  3. Rs. 4400

  4. Rs. 4800
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A Correct answer
Explanation

Let x be amount at 12%. Then (8000-x) is at 10%. After 3 years: (8000-x) + (8000-x)×0.10×3 + x + x×0.12×3 = 10700. Simplifying: (8000-x)(1.3) + x(1.36) = 10700. This gives 10400 - 1.3x + 1.36x = 10700, so 0.06x = 300, giving x = 5000. Verification: 3000 at 10% for 3 years gives 3900, 5000 at 12% for 3 years gives 6800, total = 10700. Options B, C, and D are incorrect.

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