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SSC Quantitative Aptitude Simple Interest Question Bank Simple and Compound Interest (II)

  • question_answer
    A part of amount Rs. 10000 was invested at the rate of interest of 8% and remaining at 10% per annum. If average annual interest rate is 9.2%, then these two parts are

    A) Rs. 4000, Rs. 6000

    B) Rs. 4500, Rs. 5500

    C) Rs. 5000, Rs. 5000

    D) Rs. 3500, Rs. 6500

    Correct Answer: A

    Solution :

    [a] Let Ist part Rs. x and IInd part \[\because \] According to the question, \[\frac{x\times 8\times 1}{100}+\frac{(10000-x)\times 10\times 1}{100}\] \[=\frac{10000\times 9.2\times 1}{100}\] \[\Rightarrow \]   \[8x+100000-10x=92000\] \[\Rightarrow \]   \[8000=2x\] \[\Rightarrow \]\[x=\text{Rs}.\,\,4000\]and IInd part \[=10000-4000=\text{Rs}.\,\,6000\]


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