Jaffin took a loan of ₹62000 from a bank for buying a motor cycle for 4 years. After 4 years, the total amount paid by him to the bank is ₹99200. Find the rate of interest. About the author Katherine
[tex] {\pmb{\underline{\sf{ Required \ Solution … }}}} \\ [/tex] Principal = ₹ 62000 Time (t) = 4 Years Amount = ₹ 99200 As we know that:- [tex] \dag \ {\underline{\boxed{\sf{ Interest = Amount – Principal }}}} \\ \\ \colon\implies{\sf{ 99200 – 62000 }} \\ \\ \colon\implies{\sf{ 37200 _{(Interest)} }} \\ [/tex] Now, We’ve Interest of the transaction & we can put it into desired formula to get the Rate of the Interest as:- Interest = ₹ 37200 Let the Rate of the Interest be x [tex] \circ \ {\pmb{\underline{\boxed{\sf\gray{ Interest_{(Simple)} = \dfrac{PRT}{100} }}}}} \\ \\ \\ \colon\implies{\sf{ 37200 = \dfrac{620 \cancel{00} \times x \times 4}{ \cancel{100} } }} \\ \\ \\ \colon\implies{\sf{ 37200 = 620 \times x \times 4 }} \\ \\ \\ \colon\implies{\sf{ \dfrac{37200}{620 \times 4} = x }} \\ \\ \\ \colon\implies{\sf{ \cancel { \dfrac{37200}{2480} } = x }} \\ \\ \\ \colon\implies{\underline{\boxed{\sf{ x = 15 _{( \% )} }}}} [/tex] Hence, The Rate of the Interest is 15%. Reply
[tex] {\pmb{\underline{\sf{ Required \ Solution … }}}} \\ [/tex]
As we know that:-
[tex] \dag \ {\underline{\boxed{\sf{ Interest = Amount – Principal }}}} \\ \\ \colon\implies{\sf{ 99200 – 62000 }} \\ \\ \colon\implies{\sf{ 37200 _{(Interest)} }} \\ [/tex]
Now, We’ve Interest of the transaction & we can put it into desired formula to get the Rate of the Interest as:-
Let the Rate of the Interest be x
[tex] \circ \ {\pmb{\underline{\boxed{\sf\gray{ Interest_{(Simple)} = \dfrac{PRT}{100} }}}}} \\ \\ \\ \colon\implies{\sf{ 37200 = \dfrac{620 \cancel{00} \times x \times 4}{ \cancel{100} } }} \\ \\ \\ \colon\implies{\sf{ 37200 = 620 \times x \times 4 }} \\ \\ \\ \colon\implies{\sf{ \dfrac{37200}{620 \times 4} = x }} \\ \\ \\ \colon\implies{\sf{ \cancel { \dfrac{37200}{2480} } = x }} \\ \\ \\ \colon\implies{\underline{\boxed{\sf{ x = 15 _{( \% )} }}}} [/tex]
Hence,
The Rate of the Interest is 15%.