Question

The difference between the compound
interest for a year payable half-yearly
and the simple Interest on a certain sum
of money lent out at 10%. for a year is
Rs.15. Find the sum of money lent out.​

Answer 1

Answer:

rupees 6000

Step-by-step explanation:

let the sum be x.

SI

P=x ,r=10%,t=1year

I=prt/100

=x*10*1/100

=x/10

Now,

CI,

for 1st half year

p=x,r=10%,t=1/2year

interest =x*10*1/2/100

x/20

a=p+i

=x+x/20

21x/20

ci for 2nd half year

p=21x/20 ,r=0%,t=1/2 year

interest=21x/20*10*1/2/100

=21x/400

a=p+i

=21x/20+21x/400

=441x/400

ci=a-p

=441x/400-x

=41x/400

ATQ,

41x/400-x/10=15

=x/400=15

=x=400*15

=6000 rupees. ans.

Answer 2

Answer:

Easiest way to solve this problem.

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