A man had RS 4000,part of which he lent at 5% and the rest at 4% .The

1.	A man had RS 4000,part of which he lent at 5% and the rest at 4% .The whole interest received was RS 190. How much did he lent at 4% ?
Answer» ANSWER : LET the FIRST Part lent at 4% be Rs. n and, SECOND Part lent at 5% be Rs. (4000 – n). $\bigstar\:\boxed{\sf Simple \:Interest = \dfrac{Principal \times Rate \times Time}{100}}$ $\rule{150}{1}$ $\underline{\bigstar\:\textsf{According to the Question Now :}}$ $:\implies\sf SI_1 + SI_2 = Total \:Interest\\\\\\:\implies\sf \dfrac{P_1R_1T}{100}+\dfrac{P_2R_2T}{100}=Rs.\:190 \\\\\\:\implies\sf \dfrac{n \times 4 \times 1}{100}+\dfrac{(<klux>4000</klux> - n) \times 5 \times 1}{100}=Rs.\:190\\\\\\:\implies\sf \dfrac{4n}{100}+\dfrac{20000 - 5n}{100}=Rs.\:190\\\\\\:\implies\sf \dfrac{4n + 20000 - 5n}{100}=Rs.\:190\\\\\\:\implies\sf20000 - n = 190 \times 100\\\\\\:\implies\sf20000 - n = 19000\\\\\\:\implies\sf20000-19000 = n\\\\\\:\implies\boxed{\sf n = Rs. \:1000}$ ⠀ $\therefore\:\underline{\textsf{Money lent at 4\% wil be \textbf{Rs. 1000}}}$

A man had RS 4000,part of which he lent at 5% and the rest at 4% .The whole interest received was RS 190. How much did he lent at 4% ?

Answer»

ANSWER :

LET the FIRST Part lent at 4% be Rs. n and, SECOND Part lent at 5% be Rs. (4000 – n).

$\bigstar\:\boxed{\sf Simple \:Interest = \dfrac{Principal \times Rate \times Time}{100}}$

$\rule{150}{1}$

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\sf SI_1 + SI_2 = Total \:Interest\\\\\\:\implies\sf \dfrac{P_1R_1T}{100}+\dfrac{P_2R_2T}{100}=Rs.\:190 \\\\\\:\implies\sf \dfrac{n \times 4 \times 1}{100}+\dfrac{(<klux>4000</klux> - n) \times 5 \times 1}{100}=Rs.\:190\\\\\\:\implies\sf \dfrac{4n}{100}+\dfrac{20000 - 5n}{100}=Rs.\:190\\\\\\:\implies\sf \dfrac{4n + 20000 - 5n}{100}=Rs.\:190\\\\\\:\implies\sf20000 - n = 190 \times 100\\\\\\:\implies\sf20000 - n = 19000\\\\\\:\implies\sf20000-19000 = n\\\\\\:\implies\boxed{\sf n = Rs. \:1000}$

⠀

$\therefore\:\underline{\textsf{Money lent at 4\% wil be \textbf{Rs. 1000}}}$

A man had RS 4000,part of which he lent at 5% and the rest at 4% .The whole interest received was RS 190. How much did he lent at 4% ?

ANSWER :

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