Question

The diffence between sir & ci for 2 yrs on certain sum of money which is lent at 6.666% p. a. is 14 find the sum

Answer 1

Answer:

$\underline{\bigstar\:\textsf{Difference b/w SI and CI for 2 yrs :}}$

$:\implies\tt Difference=\dfrac{Principal \times (Rate)^2}{(100)^2}\\\\\\:\implies\tt 14 = \dfrac{Principal \times(6.67)^2}{10000}\\\\\\:\implies\tt 14 \times 10000 = Principal \times 44.4889\\\\\\:\implies\tt\dfrac{140000}{44.4889} = Principal\\\\\\:\implies\underline{\boxed{\red{\tt Principal = Rs. \:3146.85}}}$

⠀

$\therefore\:\underline{\textsf{Principal will be \textbf{Rs. 3146.85}}}.$