Question

sirish borrowed a sum of rs 163840 at 12.5% per annum compound annually .on the same day ,he lent out the same amount to sahaj at the same rate of interest but compound half yearly.find his gain after two years.

Answer 1

Given that
P = ₹163840
R = 12.5

Answer 2

Answer. ::

We know that A = P(1+r/100)^n

=163840(1+12.5/100)^2

=163840(112.5/100)^2

= 2048 * 22.5 * 4.5

= 207360.

Compound Interest per annum =(207360 - 163840) = 43520.

Now we have to calculate compound interest half yearly r=12.5/2= 6.25

A = P(1+r/100)^n

= 163840(1+6.25/100)^4

= 163840(106.25/100)^4

= 208802.5

Compound Interest half yearly = (208802.5 - 163840) = 44962.5

Gain after 2 years = (44962.5 - 43520)

= 1442.5. Ans

Hope this helps!