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?

Solution(By Examveda Team)

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