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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-6

  • question_answer
    A sum of Rs. 20000 is to be divided between two brothers aged 15 yr and 13 yr so that at the age of 18 they get equal amount while the compound rate of interest is 5% per annum. What is the amount received by the younger brother?

    A)  Rs. 8123.50     

    B)  Rs. 1213.50

    C)  Rs. 9512.50     

    D)  Rs. 1000.50

    Correct Answer: C

    Solution :

    Let sum received by younger brother = Rs. x \[\therefore \] Sum received by elder brother = Rs.\[(20000-x)\] Given, \[x{{\left[ 1+\frac{5}{100} \right]}^{5}}=(20000-x){{\left[ 1+\frac{5}{100} \right]}^{3}}\] \[\Rightarrow \]   \[x{{\left[ 1+\frac{5}{100} \right]}^{2}}=(20000-x)\] \[\Rightarrow \]   \[\frac{441x}{400}=20000-x\] \[\Rightarrow \]   \[441x+400x=8000000\] \[\therefore \] \[x=\frac{8000000}{841}=\]Rs. 9512. 50


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