Question

Find the time in which Rs. 2,500 amount to Rs. 3,100 at 8% per annum.​

Answer 1

$\\ \\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

• Principal = 2500 Rs

• Amount = 3100 Rs

• Rate of interest = 8% / annum

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}$

• Time taken in which 2500Rs to 3100 Rs at 8% rate of interest.

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

Simple interest = Amount - Principal

Simple interest = 3100 - 2500

Simple interest = 600 Rs

We know ,

$\\ \\ \bigstar \boxed{ \bf \: S.I = \frac{PRT}{100} }$

Hence ,

$\\ \\ \bigstar \boxed{ \sf \: \blue{T = \frac{SI \times 100}{PR}}}$

Putting values , we get..

$\\ \\ \sf \: T = \frac{600 \times 100}{2500 \times 8} \\ \\ \sf \: T = \frac{60000}{20000} \\ \\ \boxed{ \sf \: \green{ T = 3yrs}}$

Hence , it will take 3yrs for 2500Rs to 3100Rs at rate of 8% per annum.