Question

The difference between c.i and S.I on a certain sum of money at 10%p.a for 2 years is rs 750 .find the sum if interest is compound annually

Answer 1

let the sum be x
means principal be x
then in si = p*r*t/100
= x*10*2/100 solve it then after that
another column ci
=x(1+r/100)2 as a power
then sole it whatever the si and ci comes
solve this = ci-si=750
your answer comes

Answer 2

Heya friend,

Given that

R = 10% P.a.

T = 2 years

Difference = ₹750

Solution

Let the sum be ₹P. Then,

S.I. = P×R×T/100

= P×10×2/100

= ₹P/5


C.I. = P{(1+R/100)^n - 1}

= P{(1+10/100)^2 - 1}

= P{(100+10/100)^2 - 1}

= P{(110/100)^2 - 1}

= P{(11/10)^2 - 1}

= P{121/100 - 1}

= P{121-100/100}

= ₹21 P/100

Difference = C.I. - S.I.

=> 750 = 21 P/100 - P/5

=> 750 = 21 P - 20 P/100

=> 750 = P/100

=> P = 100 × 750

=> P = ₹75,000

Hence, the sum is ₹75,000.




Thanks

With regards@

Tanisha