Multiple choice

The rate of simple interest on an amount of money is 6 percent per annum for the first two years, 9 percent per annum for the next five years and 13 percent per annum for the period beyond seven years. if the total interest on a sum end of ten years is Rs. 7680, what is the sum? एक धनराशि पर साधारण ब्याज की दर 6 प्रतिशत वार्षिक प्रथम दो वर्ष के लिए 9 प्रतिशत वार्षिक अगले 5 वर्षों के लिए और 13 प्रतिशत वार्षिक बाद के सात वर्षों के लिए हैं यदि धनराशि पर दस वर्षों की समाप्ति पर कुल ब्याज 7680 रूपये हो तो धनराशि क्या है?

  1. 8000

  2. 8800

  3. 9600

  4. 12100
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A Correct answer
Explanation

For principal P: Interest for first 2 years at 6% = 0.12P. For next 5 years at 9% = 0.45P. For last 3 years at 13% = 0.39P. Total interest = 0.96P = 7680, so P = 7680/0.96 = 8000. The varying rates apply sequentially to the same principal.

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