SSC Sample Paper SSC CGL - Sample Paper-18

  • question_answer
    The compound interest on a certain sum of money at 5% per annum for 2 yr is Rs. 246. The simple interest on the same sum for 3 yr at 6% per annum is

    A) Rs. 435             

    B) Rs. 450

    C) Rs. 430             

    D) Rs. 432

    Correct Answer: D

    Solution :

    \[CI=P\left[ {{\left( 1+\frac{R}{100} \right)}^{T}}-1 \right]\] \[246=P\left[ {{\left( 1+\frac{5}{100} \right)}^{2}}-1 \right]\] \[\Rightarrow \]   \[246=P\left[ {{\left( \frac{21}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \]   \[246=P\left( \frac{441-400}{400} \right)\] \[\Rightarrow \]   \[246=\frac{41P}{400}\] \[\Rightarrow \] \[P=\frac{246\times 400}{40}\]             \[=Rs.\,2400\] \[\therefore \] \[SI=\frac{\text{Principal}\times \text{Time}\times \text{Rate}}{100}=\frac{2400\times 3\times 6}{100}\]             \[=Rs.\,432\]


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