A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

1Rs. 1425
2Rs. 1500
3Rs. 1537.50
4Rs. 1576

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the total profit be Rs . 100 \\ After paying to charity, A's share \\ = R s . (95 \times \frac{3}{5}) = R s . 57 \\ If A's share is R s . 57, \\ Total profit = R s . 100 \\ If A's share R s . 855, \\ Total profit \\ = (\frac{100}{57} \times 855) = 1500 \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{total}}\,{\text{profit}}\,{\text{be}}\,{\text{Rs}}{\text{.}}\,{\text{100}} \cr & {\text{After}}\,{\text{paying}}\,{\text{to}}\,{\text{charity,}}\,{\text{A's}}\,{\text{share}} \cr & = Rs.\,\left( {95 \times \frac{3}{5}} \right) = Rs.\,57 \cr & {\text{If}}\,{\text{A's}}\,{\text{share}}\,{\text{is}}\,Rs.\,57, \cr & {\text{Total}}\,{\text{profit}} = Rs.\,100 \cr & {\text{If}}\,{\text{A's}}\,{\text{share}}\,Rs.\,855, \cr & {\text{Total}}\,{\text{profit}} \cr & = \left( {\frac{{100}}{{57}} \times 855} \right) = 1500 \cr}$