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8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    The cost of a vehicle is Rs. 175000. If its value depreciates at the rate of 20 % per annum, then the total depreciation after 3 years was ____.

    A)  Rs. 86400                  

    B)  Rs. 82500

    C)  Rs. 84500      

    D)                     Rs. 85400

    Correct Answer: D

    Solution :

    Cost of vehicle \[\text{=Rs}\text{. 175000}\] Rate of depreciation = 20% p.a. \[\therefore \] Depreciated value after 3 years \[=175000{{\left( 1-\frac{20}{100} \right)}^{3}}=175000\times {{\left( \frac{8}{10} \right)}^{3}}\] \[\text{=Rs}\text{. 89600}\] \[\therefore \] Total depreciation\[=\text{Rs}\text{.}(175000-89600)\] \[\text{= Rs}\text{. 85400}\]


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