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10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    A sum of Rs. 15500 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 3000. The ratio of the money lent at 5% at that lent at 8% is

    A)  8 : 5                      

    B)         5 : 8

    C)  31 : 6                    

    D)         6 : 15  

    Correct Answer: D

    Solution :

     Let the sum at 5% be Rs. x. Then, \[\frac{x\times 5\times 3}{100}+\frac{(15500-x)\times 8\times 3}{100}=3000\] or            \[x=8000\] or            \[\frac{Money\,at\,5%}{Money\,at\,8%}=\frac{8000}{(15500-8000)}\]                 \[=\frac{8000}{7500}=\frac{16}{15}\]


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