Question

In what time will 1,00,000 amount to 1,10,250rs at 5% rate of Compound interest p.a.?​

Answer 1

$so \: the \: time \: is \: \boxed { \pink {2 \: years}}$

Step-by-step explanation:

Principal = ₹100000 Amount = ₹110250 Rate = 5% p.a.c.a

$compound \: interest \: = amount - principal$

$C.I. = 110250 - 100000 = 10250$

$amount \: = principal( 1 + \frac{rate}{100} )^{n}$

$\frac{amount }{principal} = ( 1 + \frac{5}{100} )^{n}$

$\frac{110250}{100000} = (\frac{105}{100})^{n}$

$( \frac{105}{100} )^{2} = ( \frac{105}{100} )^{n}$

$n = 2$

Note : When base is same superscript is taken