What sum will give ₹ 244 as the difference be | vedclass

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(C) Given: Rate $R = 10 \%$ per annum,so half-yearly rate $r = 5 \% = 0.05$. Time $T = 1 \frac{1}{2}$ years $= 3$ half-years.Simple Interest $(SI)$ $=

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$32000$

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(C) Given: Rate $R = 10 \%$ per annum,so half-yearly rate $r = 5 \% = 0.05$. Time $T = 1 \frac{1}{2}$ years $= 3$ half-years.Simple Interest $(SI)$ $= P 	imes r 	imes n = P 	imes 0.05 	imes 3 = 0.15P$.Compound Interest $(CI)$ $= P[(1 + r)^n - 1] = P[(1 + 0.05)^3 - 1] = P[(1.05)^3 - 1] = P[1.157625 - 1] = 0.157625P$.Difference $= CI - SI = 0.157625P - 0.15P = 0.007625P$.Given difference $= 244$.$0.007625P = 244$.$P = \frac{244}{0.007625} = 32000$.Thus,the sum is ₹ $32000$.

What sum will give ₹ $244$ as the difference between simple interest and compound interest at $10 \%$ per annum in $1 \frac{1}{2}$ years,compounded half-yearly?

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