[tex]\underline{\underline{\green{\huge\sf Question}}}[/tex]
Shamita and pratik borrowed Rs, 6000 each at the rate of 12% per annum for a period of 2 and 3 years respectively. find the difference of interest paid by them?
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[tex]\huge\tt\fbox\pink{❥Answer:−}[/tex]
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Shamita →2×10012×6000=1440
Ptatik →3×10012×6000=2160
Difference of interest paid by them =2160−1440=720
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[tex]\huge{\mathtt{\underline{\underline{\color{red}{THANKS}}}}}[/tex]
I hope it will help you.
Given :
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To Find :
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SolutioN :
[tex] \maltese \; {\underline{\underline{\sf{ \; Calculating \; the \; Difference \; :- }}}} [/tex]
[tex] \; \bigstar \; {\underline{\boxed{\red{\sf{ Simple \; Interest = \dfrac{ Principal \times Rate \times Time }{100} }}}}} [/tex]
[tex] \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = Interest {\small_{[Sashmita]}} - Interest {\small_{[Pratik]}} } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = \left \lgroup \dfrac{ P \times R \times T }{100} \right \rgroup {\small_{[Pratik]}} - \left \lgroup \dfrac{ P \times R \times T }{100} \right \rgroup {\small_{[Sashmita]}} } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = \left \lgroup \dfrac{ 6000 \times 12 \times 3 }{100} \right \rgroup - \left \lgroup \dfrac{ 6000 \times 12 \times 2 }{100} \right \rgroup } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = \left \lgroup \dfrac{ 6000 \times 36 }{100} \right \rgroup - \left \lgroup \dfrac{ 6000 \times 24 }{100} \right \rgroup } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = \left \lgroup \dfrac{ 216000 }{100} \right \rgroup - \left \lgroup \dfrac{ 144000 }{100} \right \rgroup } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = \left \lgroup \cancel\dfrac{ 216000 }{100} \right \rgroup - \left \lgroup \cancel\dfrac{ 144000 }{100} \right \rgroup } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; \sf { Difference = 2160 - 1440 } \\ \\ \\ [/tex]
[tex] \\ \; \implies \; \; {\underline{\boxed{\red{\sf { Difference = Rs. \; 720 }}}}} \; \blue\bigstar \\ \\ \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \therefore \; [/tex] Difference between the Interest is Rs.720
[tex] \\ {\underline{\rule{200pt}{9pt}}} [/tex]