Math, asked by aleemakhatoon126, 1 year ago

11. Divide 5000 into two parts such that the simple interest on the first part for 2 years at 10%
per annum is equal to the simple interest on the second part for 3 years at 20% per annum.​

Answers

Answered by Anonymous
109

AnswEr :

Let the First Part be Rs. x and Second Part be Rs. (5,000 - x).

\bold{First \: Part} \begin{cases} \sf{Principal=Rs. x} \\ \sf{Rate=10\% \: p.a.}  \\  \sf{Time=2 \: Yr.}\end{cases}

\bold{Second \: Part} \begin{cases} \sf{Principal=Rs. (5,000 -x)} \\ \sf{Rate=20\% \: p.a.}  \\  \sf{Time=3 \: Yr.}\end{cases}

According to Question Now ;

 \leadsto\sf{SI_1 = SI_2}

 \leadsto\sf{\dfrac{PRT_1}{\cancel{100}}=\dfrac{PRT_2}{\cancel{100}}}

  • Using the Values Now

 \leadsto \sf{x \times 10 \times 2 = (5000 - x) \times 20 \times 3}

 \leadsto \sf{20x = 300000 - 60x}

 \leadsto \sf{20x  + 60x= 300000}

 \leadsto \sf{80x = 300000 }

 \leadsto \sf{x =   \cancel\dfrac{300000}{80} }

 \leadsto Rs. 3,750

Second Part be :

⇒ Rs. (5,000 - x)

⇒ Rs. (5,000 - 3,750)

Rs. 1,250

 \therefore Rs. 3750 and Rs. 1250 is two different Part on which Simple Interest will be Equal.

Answered by shikha711985
0

Answer:

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