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8th Class Mathematics Comparing Quantities Question Bank Comparing Queantities

  • question_answer
    The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum is

    A)  Rs. 600                        

    B)  Rs. 645

    C)  Rs. 525                        

    D)  Rs. 625

    Correct Answer: D

    Solution :

    (d): \[S.I=P\times \frac{4\times 2}{100}=\frac{8p}{100}=.08P\] \[C.I=P{{\left( 1+\frac{4}{100} \right)}^{2}}-p\] \[=P{{\left( 1.04 \right)}^{2}}-P\] \[=P\left[ 1.0816-1 \right]=.0816P\] \[C.I-S.I=.0816P-.08P\] \[=.0016P=1Rs/-\] \[\Rightarrow P=\frac{1}{.006}Rs/-\] \[\frac{10000}{16},\]= Rs/-             = 625/-


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