Question

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
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Answer 1

GIVEN :-

• SI - SI' = Rs. 300.
• Time ( T , T' ) = 3 years and 2 years .
• Rate ( R , R' ) = 10 %

TO FIND :-

• The sum ( P ).

SOLUTION :-

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

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

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

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

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

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

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

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

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

$\\ \\ :\implies\underline{ \boxed{ \displaystyle \sf \: P = 3000}}$

Hence the required sum is Rs. 3000.