Question

Ans should come 6250
pls tell​

Answer 1

Answer:

The principal amount is 6250 rupees.

Step-by-step explanation:

Let the principal amount be P. Then the formula to find the simple interest and compound interest for N years at a rate of R% per year is given by,

$Simple \ Interest =\dfrac{PNR}{100}\\\\Compound\ Interest =P(1+\dfrac{R}{100})^N-P$

Here, we need to find the amount P.

Given the values,

$N=2\\\\R=8\%$

Also, the difference between the simple interest and the compound interest is 40.

Hence we have the equation,

$\implies Compound\ Interest-Simple\ interest= P(1+\dfrac{R}{100})^N-P-\dfrac{PNR}{100}\\\implies P(1+\dfrac{8}{100})^2-P-\dfrac{P\times 2\times 8}{100}=40\\\\\implies P(\frac{108}{100} )^2-P-\frac{16}{100} P=40\\\\\implies \dfrac{108^2}{100^2} P-\dfrac{116}{100} P=40\\\\\implies 108^2P-116\times 100P=40\times 100^2\\\\\implies 64P=400000\\\\\implies P=\dfrac{400000}{64}=6250$

So the principal amount is 6250 rupees.