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 ₹ 20000, what was the total amount received on maturity from both the schemes?
(a)₹ 50800
(b)₹ 51200
(c)₹ 52800
(d)₹ 58200
(e)None of these
Answer
Answer (as printed):
Explanation
Let the amounts invested in Schemes A and B be ₹ $5 x$ and $₹ 4 x$ respectively. Then, $$5 x=20000 \Rightarrow x=4000 .$$ ∴ Amount invested in Scheme $\mathrm{B}=₹ 16000$. Total interest received on maturity $$\begin{aligned} & =₹\left[120 \% \text { of }\left(\frac{20000 \times 8 \times 5}{100}\right)+\left(\frac{16000 \times 9 \times 5}{100}\right)\right] \\ & =₹(120 \% \text { of } 8000+7200)=₹(9600+7200) \\ & =₹ 16800 . \end{aligned} \therefore \quad \text { Total amount }=₹(20000+16000+16800)=₹ 52800 \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.