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

  • question_answer
    The sum for 2 yr gives a compound interest of Rs. 3225 at 15% rate. Then, sum is [SSC CGL Tier II, 2017]

    A) Rs. 10000

    B) Rs. 20000

    C) Rs. 15000

    D) Rs. 32250

    Correct Answer: A

    Solution :

    [a] CI = Rs. 3225, r = 15%, t = 2 years \[\therefore \]      \[CI=P\left[ {{\left( 1+\frac{r}{100} \right)}^{t}}-1 \right]\] \[\Rightarrow \]   \[3225=P\left[ {{\left( 1+\frac{15}{100} \right)}^{2}}-1 \right]\] \[\Rightarrow \]   \[3225=P\left[ {{\left( 1+\frac{3}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \]   \[3225=P\left[ {{\left( \frac{23}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \]   \[3225=P\left( \frac{529}{400}-1 \right)\] \[\Rightarrow \]   \[3225=P\times \frac{129}{400}\] \[\Rightarrow \]   \[P=\frac{3225\times 400}{129}\] \[\Rightarrow \]   \[P=25\times 400\]\[\Rightarrow \] \[P=\text{Rs}.\,\,10000\]


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