A man borrows money at 3 % per annum interest | vedclass

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Question

(d) Let the amount borrowed be $₹ x$

$	herefore \quad$ Interest to be paid $=₹ \frac{x 	imes 3}{100}=₹ \frac{3 x}{100}$

$NoW$

Rate $=\frac{

Vedclass · Accepted Answer

$16000$

Vedclass · Answer

(d) Let the amount borrowed be $₹ x$

$	herefore \quad$ Interest to be paid $=₹ \frac{x 	imes 3}{100}=₹ \frac{3 x}{100}$

$NoW$

Rate $=\frac{5}{2} \%$ per half-year Time $=2$ half-years $	herefore \quad CI =P\left[\left(1+\frac{R}{100}ight)^{T}-1ight]$

$=x\left[\left(1+\frac{5}{200}ight)^{2}-1ight]=x\left[\left(1+\frac{1}{40}ight)^{2}-1ight]$

$=x\left[\left(\frac{41}{40}ight)^{2}-1ight]=x\left[\left(\frac{1681}{1600}-1ight)ight]$

$=x\left(\frac{1681-1600}{1600}ight)=₹ \frac{81 x}{1600}$

Difference $=\frac{81 x}{1600}-\frac{3 x}{100}$

$=\frac{81 x-48 x}{1600}=₹ \frac{33 x}{1600}$

$	herefore \frac{33 x}{1600}=330$

$\Rightarrow \quad x=\frac{1600 	imes 330}{33}=₹ 16000$

A man borrows money at $3 \%$ per annum interest payable yearly and lend it immediately at $5 \%$ interest (compound) payable half-yearly and thereby gains ₹ $330$ at the end of the year. The sum borrowed (In ₹) is

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