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

  • question_answer
    What annual payment will discharge a debt of Rs. 7620 due in 3 years at 16?% per annum compound interest ?

    A)  Rs. 2540              

    B)  Rs. 3430  

    C)  Rs. 3260        

    D)         Rs. 3380

    Correct Answer: B

    Solution :

      Let each instalment be Rs. x. Then \[\frac{x}{\left( 1+\frac{50}{3\times 100} \right)}+\frac{x}{{{\left( 1+\frac{50}{3\times 100} \right)}^{2}}}+\frac{x}{{{\left( 1+\frac{50}{3\times 100} \right)}^{3}}}\] \[=7620\] or            \[\frac{6x}{7}+\frac{36x}{49}+\frac{216x}{343}=7620\] \[294x+252x+216x=7620\times 343\]  or           \[x=\frac{7620\times 343}{762}=3430\] \[\therefore \] Amount of each instalment\[=Rs.\text{ }3430\].


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