Question

the simple interest on a certain sum at 5% per annum for 3 years and 4 years differ by 82 find the sum​

Answer 1

Given:

• Difference in simple interest of 4 years and 3 years = Rs. 42
• Rate of interest = 5%

Formula used:

$\longmapsto \boxed{ \red { \sf \:SI = \frac{(P × R × T)}{100}}}$

Calculation:

• Simple interest for 1 year = Difference in simple interest of 4 years and 3 years

$\sf \implies Simple \: interest \: for \: 1 \: year = Rs, 42$

$\sf \implies \frac{(P × R × T)}{100} = 42$

$\sf \implies \frac{(P × 5 × 1)}{100} = 42$

$\sf \implies P = 42 × \frac{ 100}{5 }$

$\sf \implies 42 × 20$

$\sf \implies 840$

$∴ \underline{ \red{ \sf \: The \: sum \: is \: \bold{ \green{ Rs. 840}}}}$