8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    Rs.16000 are invested at 10% p.a. compounded semi-annually amounts to Rs. 18522. Then the period of investment is

    A) 1.5 years               

    B) 3 years

    C) 2 years                  

    D)  \[\frac{5}{2}\] years

    Correct Answer: A

    Solution :

    Use \[18522=16000{{\left( 1+\frac{5}{100} \right)}^{n}}\] \[\frac{1}{y}=\frac{1}{x}+\frac{1}{100}\] \[Discount%=\frac{Discount}{M.P.}\times 100\] \[\text{-}\frac{\text{Discount }\!\!%\!\!\text{  }\!\!\times\!\!\text{ M}\text{.P}\text{.}}{\text{100}}\] \[S.P.=M.P.\times \left\{ 1-\frac{Discount%}{100} \right\}\] \[\text{S}\text{.P}\text{.=M}\text{.P}\text{. }\!\!\times\!\!\text{ }\left\{ \text{1-}\frac{\text{Discount }\!\!%\!\!\text{ }}{\text{100}} \right\}\]Time \[\text{S}\text{.P}\text{.=M}\text{.P}\text{. }\!\!\times\!\!\text{ }\left\{ \frac{\text{100 - Discount }\!\!%\!\!\text{ }}{\text{100}} \right\}\]


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