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SSC Sample Paper SSC CGL - Sample Paper-8

  • question_answer
    What sum of money at compound interest will amount to Rs. 650 at the end of one year and Rs. 676 at the end of 2 yr?

    A)  Rs. 520            

    B)  Rs. 572

    C)  Rs. 600            

    D)  Rs. 625

    Correct Answer: D

    Solution :

    \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \]   \[676=650\left( 1+\frac{r}{100} \right)\] \[\Rightarrow \]   \[1+\frac{r}{100}=\frac{676}{650}\] \[\Rightarrow \] \[\frac{r}{100}=\frac{676}{650}-1\]             \[=\frac{26}{650}\] \[\Rightarrow \]   \[r=\frac{26}{650}\times 100=4\] \[\therefore \]      \[650=P{{\left( 1+\frac{4}{100} \right)}^{1}}\] \[\Rightarrow \]   \[650=P\times \frac{26}{25}\] \[\Rightarrow \]   \[P=\frac{650\times 25}{26}=Rs.\,625\]


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