Question

Ram and Shyam together lent Rs. 3364 at 5% compo
annuslly. The amount Ram gets at the end of three year
end of five years. The share of Ram in Principal amount is​

Answer 1

Answer:

1600.

Steps:

It is clear from question that Ram's share after five years = Sham's share after seven years

Hence we can conclude following :

\begin{aligned}

\text{(Rams's present share)}\left(1 + \dfrac{5}{100}\right)^5 = \text{(Sham's present share)}\left(1 + \dfrac{5}{100}\right)^7\\

=> \dfrac{\text{(Ram's present share)}}{\text{(Sham's present share)}}= \dfrac{\left(1 + \dfrac{5}{100}\right)^7}{\left(1 + \dfrac{5}{100}\right)^5} \\ = \left(1 + \dfrac{5}{100}\right)^{(7-5)} = \left(1 + \dfrac{5}{100}\right)^2 \\ = \left(\dfrac{21}{20}\right)^2 = \dfrac{441}{400}

\end{aligned}

Ram's present share : B's present share = 441 : 400

\begin{aligned}

\text{As amount is Rs.3364, Ram's share = }3364 \times \dfrac{441}{(441+400)} \\\\

= 3364 \times \dfrac{441}{841} = 4 \times 441 = \text{ Rs. 1764}

\end{aligned}

So Sham's share is = 3364-1764 = 1600