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8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs. 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one and a half year.             

    A)  Rs. 4900                    

    B)  Rs. 4921        

    C)  Rs. 4810        

    D)         Rs. 4700        

    Correct Answer: B

    Solution :

    We have, Principal \[\text{=Rs}\text{. 64000}\] Rate = 5% per annum \[\text{=}\frac{5}{2}%\] per half yearly Time = \[1\frac{1}{2}\] years \[=\left( \frac{3}{2}\times 2 \right)\] half years =3 half years Now, Amount \[=64000{{\left( 1+\frac{5}{200} \right)}^{3}}\] \[\Rightarrow \text{Amount =Rs}\text{. 68921}\] Compound interest \[\text{=68921-64000=Rs}\text{. 4921}\]


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