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

  • question_answer
    A man invested one third of his capital at 7%; one fourth at 8% and the remainder at 10%. If his annual income is Rs. 560, the capital is

    A)  Rs. 54000       

    B)         Rs. 60000

    C)  Rs. 66000         

    D)         Rs. 72000

    Correct Answer: C

    Solution :

     Let total capital be x. Then, \[\left( \frac{x}{3}\times \frac{7}{100}\times 1 \right)+\left( \frac{x}{4}\times \frac{8}{100}\times 1 \right)+\left( \frac{5x}{12}\times \frac{10}{100}\times 1 \right)\]                 \[=5610\] or            \[\frac{7x}{300}+\frac{x}{50}+\frac{x}{24}=5610\] or            \[51x=(5610\times 600)\] or            \[x=\left( \frac{5610\times 600}{51} \right)=66000\]


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