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SSC Sample Paper SSC (Group-C) Sample Test Paper-10

  • question_answer
    If a sum of money at a certain rate of simple interest per year doubles in 5 years and at a different rate of simple interest per year becomes three times in 12 years, then the difference in the two rates of simple interest per year is

    A)  \[2%\]                        

    B)  \[3%\]

    C)  \[3\frac{1}{3}%\]             

    D)       \[4\frac{1}{3}%\]

    Correct Answer: C

    Solution :

     Case I, Principal = interest \[\therefore \] Rate \[=\frac{S.I.\times 100}{\text{Principal}\times \text{Time}}=\frac{100}{5}=20%\]per annum Case II, S.I.\[=2\times \] Principal \[\therefore \]  Rate \[=\frac{S.I.\,\times 100}{\text{Principal}\,\,\times Time}\] \[=\frac{2\times 100}{12}=\frac{50}{3}%\] per annum \[\therefore \]   Required difference \[=\left( 20-\frac{50}{3} \right)%=\left( \frac{60-50}{3} \right)%=\frac{10}{3}=3\frac{1}{3}%\]


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