8th Class Mathematics Sample Paper Mathematics Sample Paper - 3

  • question_answer
    (a) Find the amount of Rs. 50000 after 2 years compounded annually. The rate of interest being 8% p.a. during the first year and 9% p.a. during the second year. Also, find the compound interest.
    (b) If (a) decreased value \[=P{{\left( 1-\frac{R}{100} \right)}^{n}}\]   and (b) depreciated value \[=P{{\left( 1+\frac{R}{100} \right)}^{n}}\] then select right answer.

    Answer:

    (a) Here P=' 50000, \[{{R}_{1}}\] = 8% p.a. and \[{{R}_{2}}\] = 9% p.a
    Since,        \[A=P\left( 1+\frac{{{R}_{1}}}{100} \right)\left( 1+\frac{{{R}_{2}}}{100} \right)\]                                                                                                                             
    \[=50000\times \left( 1+\frac{8}{100} \right)\left( 1+\frac{9}{100} \right)\]                                                                                                            
    \[=50000\times \frac{27}{25}\times \frac{109}{100}\]                                                                                                                             
    Amount =Rs.58860
    Therefore                  \[C.I.\text{ }=\text{ }A\text{ }-\text{ }P\]
    \[=58860-50000\]
    =Rs. 8860
    (b) (a) is right answer.     


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