Question

Mr Gupta invested an amount of rs13,900 dividing it into two different schemes. Scheme A and scheme B at the simple interest rate of 14% per annum and 11% per annum respectively.if total amount of simple interest earned in 2 years is rs 3508, what was the amount invested in scheme B

Answer 1

Dear student
$$\begin{gathered} LetthesuminvestedinSchemeAbeRs.x \\ andthatinSchemeBbeRs.(13900-x). \\ AsSI=\frac{PRT}{100}whereP=Principal,R=Ratepercent,T=time \\ Then\left(\frac{x\times 14\times 2}{100}\right)+\left(\frac{\left(13900-x\right)\times 11\times 2}{100}\right)=3508 \\ \Rightarrow 28x+305800-22x=350800 \\ \Rightarrow 6x=45000 \\ \Rightarrow x=Rs7500 \\ SotheamountinvestedinschemeB=Rs13900-Rs7500=Rs6400 \end{gathered}$$
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