Question

what principal will earn interest of rupees 812 at 3 and half percent per annum in 7 whole 1 by 4 years

Answer 1

$\huge{\boxed{\boxed{\bold{\pink{Hiii \: \: Mate!!!}}}}}$

$\mathsf{Given,}$

$\mathsf{\tiny{\red{Interest = Rs \: \: 812}}}$

$\mathsf{\tiny{\red{Rate = 3 \frac{1}{2} \% = \frac{7}{2} \% \: \: p.a.}}}$

$\mathsf{\tiny{\red{Time = 7 \frac{1}{4} = \frac{29}{4} \: \: years}}}$

$\mathsf{Let \: \: the \: \: sum \: \: be \: \: Rs \: \: P.}$

$\mathsf{\tiny{\blue{We \: \: know \: \: that}}}$

$\mathsf{\tiny{\green{I = \frac{P \times R \times T}{100}}}}$

$\mathsf{\tiny{\green{ = > 812 = \frac{P \times 7 \times 29}{100 \times 2 \times 4 }}}}$

$\mathsf{\tiny{\green{= > 812 = \frac{203P}{800}}}}$

$\mathsf{\tiny{\green{ =>203P= 812 \times 800 }}}$

$\mathsf{\tiny{\green{ = > P = \frac{812 \times 800}{203}}}}$

$\mathsf{\tiny{\green{ = > P = 3200}}}$

$\mathsf\purple{Hence, \: \: the \: \: sum \: \: is \: \: Rs \: \: 3200.}$

Answer 2

Answer = ₹3200

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