Question

Amount 4913 in 18 months. Rate of interest is 12 1/2% per annum. Find interest Compounded half yearly

Answer 1

$\Large\underline\bold{Correct\:Question:-}$

★What sum will amount 4913 in 18 months, if rate of interest is $\sf\ 12 \frac{1}{2}$ per annum. Find interest Compounded half yearly.

$\Large\underline\bold{Solution:-}$

$\large\underline\bold{Given:-}$

$\sf\large\ A=Rs.4913$

$\sf\large\ R=12.5$

$\sf\large\ n=18\:month= 1.5years$

$\sf\large\ We\: know\:that:$

⟹$\sf\large\ A= P (1 + \frac{R}{100})^2n$

⟹$\sf\large\ 4,913 = p(1 + \frac{R}{100})^2n$

⟹$\sf\large\ 4,913 = x[(1.0625)^3]$

⟹$\sf\Large\ x= \frac{4913}{1.1995}$

$\large\underline\bold\purple{=4,096}$

$\sf\large\ Therefore\:the\: required\: answer\:is\:4,096.$

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