Question

Q.2 Find the sum on which the difference between the simple interest and the compound interest at the rate of 10% per annum compounded annually be rupees 64 in 2 years.(with formula)​

Answer 1

$\huge\frak\red{Answer}$

Rs.200,404,200,000

$\huge\frak\red{explanation}$

Let the sum be Rs.P

Time =2year

Rate=10%

S.I for 2 years=100P×10×2=2,000P

C.I for 2 years=[P(1+10010)2]−P

⇒[P×1,002,021,020,100]−P

⇒1,002,021,020,100−P=1,002,021,020,100P

According to the question

⇒1,002,021,020,100−2,000P=1,002,021,02P

⇒1,002,021,020,100−100P=1,002,021,020P

⇒64P=1,002,021P×2,000

⇒P=100×2,004,042,000

=Rs.200,404,200,000