Math, asked by mathematician67, 5 months ago

On a certain sum of money, the difference between C.I. for a year payable half yearly, and the S.I. for a year is Rs 18. Find the sum lent out, if rate of interest in both the cases is 10 %.​

Answers

Answered by gopalpvr
2

Answer:

3200

Step-by-step explanation:

let principal= P= a

T= 1 year

R= 10%

SI = PTR/100

=a X 1 X 10 /100

=a/10

N=2 (COMPOUNDED HALF YEARLY)

CI=A-P

=P(1+R/100)^N - P

= P(1+5/100) ^2-P

=P((105/100)( 105//100) -1)

=a(11025-10000) /10000

=a1025/10000

CI - SI = 8

a(1025/10000-1/10)=8

a(1025-1000)/10000 =8

a 25/10000=8

a= 8 X 10000/25

= 8 X 400

= 3200

sum lent out =a = 3200

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