NTSE Sample Paper NTSE SAT Practice Test-7

  • question_answer
    A sum of money invested at compound interest amounts to Rs 4624 in 2 years and to Rs 4913 in 3 years. The sum of money is 

    A) Rs4096   

    B)        Rs 4260

    C) Rs4335                         

    D) Rs4360     

    Correct Answer: A

    Solution :

    [a] Simple interest on Rs 4624 for 1 year = \[Rs\text{ }\left( 4913-4624 \right)=Rs\text{ }289.~\] \[\therefore \,\,Rate=\left( \frac{100\times 289}{4624\times 1} \right)%=6\frac{1}{4}%\] Let P be the sum that becomes Rs 4624 in 2 years at \[6\frac{1}{4}\] % p.a. C. I. \[\therefore \,\,\,\,\,\,P=\frac{\Alpha }{{{\left( 1+\frac{r}{100} \right)}^{2}}}=Rs.\left( 4624\times \frac{16}{17}\times \frac{16}{17} \right)\] = Rs 4096        


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