Ramakant invested amounts in two different schemes A and B for five years in the ratio of 5:4 respectively. Scheme A offers 8% simple interest and bonus equal to 20% of the amount of interest earned in 5 years on maturity. Scheme B offers 9% simple interest. If the amount invested in scheme A was Rs. 20000, what was the total amount received on maturity from both the schemes?

Explanation:-

Let the amounts invested in schemes A and B be Rs. 5x and 4x respectively.
then,
$$\eqalign{ & {\text{5x}} = {\text{20000}} \Rightarrow {\text{x}} = {\text{4000}}{\text{.}} \cr & \therefore {\text{Amount invested in scheme B}} \cr & = {\text{Rs}}{\text{.16000}}{\text{.}} \cr & {\text{Total interest received on maturity}} \cr & = {\text{Rs}}{\text{.}}\left[ {{\text{120}}\% {\text{ of}}\left( {\frac{{{\text{20000}} \times {\text{8}} \times {\text{5}}}}{{{\text{100}}}}} \right) + \left( {\frac{{{\text{16000}} \times {\text{9}} \times {\text{5}}}}{{{\text{100}}}}} \right)} \right] \cr & = {\text{Rs}}{\text{. }}\left( {{\text{120}}\% \,{\text{of}}\,{\text{8000}} + {\text{7200}}} \right) \cr & = {\text{Rs}}{\text{. }}\left( {{\text{9600}} + {\text{7200}}} \right) \cr & = {\text{Rs}}{\text{. 16800}}{\text{.}} \cr & \therefore {\text{Total amount}} \cr & = {\text{Rs}}{\text{. }}\left( {{\text{20000}} + {\text{16000}} + {\text{16800}}} \right) \cr & = {\text{Rs}}{\text{. 52800}}{\text{.}} \cr}$$