The difference between simple interest on a certain sum of money for 2

1.	The difference between simple interest on a certain sum of money for 2 years and 3 years at 10%p.a. is Rs 300. Find the sum
Answer» <P>GIVEN :- SI - SI' = Rs. 300. Time ( T , T' ) = 3 years and 2 years . Rate ( R , R' ) = 10 % TO FIND :- The sum ( P ). SOLUTION :- $\\ : \implies \displaystyle \sf \: SI - SI' = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: \frac{P \times R \times T}{100} - \frac{P \times R'\times T'}{100} = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: \dfrac{P \times 10 \times3}{100} - \frac{P \times 10 \times 2}{100} = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: \dfrac{P \times 30}{100} - \frac{P \times 20}{1 00 } = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: \dfrac{ 30P}{100} - \frac{ 20P}{1 00 } = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: \dfrac{ 30P - 20P }{100} = 300 \\ \\ \\$ $: \implies \displaystyle \sf \: 10P = 300 \times 100 \\ \\ \\$ $: \implies \displaystyle \sf \: 10P = 30000 \\ \\ \\$ $: \implies \displaystyle \sf \: P =\frac{30000}{10} \\ \\ \\$ $\\ \\ :\implies\underline{ \boxed{ \displaystyle \sf \: P = <klux>3000</klux>}} \\ \\$ Hence the required sum is Rs. 3000.

The difference between simple interest on a certain sum of money for 2 years and 3 years at 10%p.a. is Rs 300. Find the sum

Answer»

<P>GIVEN :-

TO FIND :-

SOLUTION :-

$\\ : \implies \displaystyle \sf \: SI - SI' = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: \frac{P \times R \times T}{100} - \frac{P \times R'\times T'}{100} = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: \dfrac{P \times 10 \times3}{100} - \frac{P \times 10 \times 2}{100} = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: \dfrac{P \times 30}{100} - \frac{P \times 20}{1 00 } = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: \dfrac{ 30P}{100} - \frac{ 20P}{1 00 } = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: \dfrac{ 30P - 20P }{100} = 300 \\ \\ \\$

$: \implies \displaystyle \sf \: 10P = 300 \times 100 \\ \\ \\$

$: \implies \displaystyle \sf \: 10P = 30000 \\ \\ \\$

$: \implies \displaystyle \sf \: P =\frac{30000}{10} \\ \\ \\$

$\\ \\ :\implies\underline{ \boxed{ \displaystyle \sf \: P = <klux>3000</klux>}} \\ \\$

Hence the required sum is Rs. 3000.