Question

On a certain sum of money, the difference between the compound interest for a year, payable half- yearly, and the simple interest for a year is Rs.180/-. Find the sum lent out, if the rate of interest in both the cases in 10% per annum.

Answer 1

P=?
R=10%
CI-SI=Rs 180
SI= PRT/100
=10×1P/100=P/10 ___________(i)
CI= P(1+R/200)² -P (HALF YEARLY)
CI= P(210/200)²-P
CI=(441P/400) -P
CI=41P/400___________(ii)
Diff. = CI-SI= 41P/400 - P/10=P/400
But, given, diff.= 180
Therefore,
180=P/400
P=Rs 72000

Answer 2

Answer:P=?

R=10%

CI-SI=Rs 180

SI= PRT/100

=10×1P/100=P/10 ___________(i)

CI= P(1+R/200)² -P (HALF YEARLY)

CI= P(210/200)²-P

CI=(441P/400) -P

CI=41P/400___________(ii)

Diff. = CI-SI= 41P/400 - P/10=P/400

But, given, diff.= 180

Therefore,

180=P/400

P=Rs 72000