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Calculate the principal which amonts Rs. 9826 after 18 months at the rate of compound interest 2.5% per annum when interest is compunded at the interval of 6 months. |
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Answer» Let the principal be Rs.x. The rate of compound inteest per annum is `2.5%=5/2%` Time `=18` months `=18/12` years `=3/2` years Since interest is compounded at the interval of 6 months, the period of time is 2. `:.` The amount of Rs. `x`in `3/2` years `=Rs.x xx(1+(5/(2xx2))/100)^(3/2xx2)=Rs.x xx(1+1/80)^(3)` `impliesRs. x xx((80+1)/80)^(3)=Rs.x xx(81/80)^(3)` As per question `x xx(81/80)^(3)=9826` `=x xx(81xx81xx81)/(80xx80xx80)=9826` `impliesx=(9826xx80xx80xx80)/(81xx81xx81)` `impliesx=9466.54` (approx) Hence the required principal is Rs. 9466.54 (approx) |
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