Question

6. On a sum of money, the difference between CI for a year payable half yearly and the SI for a year
is 80. If the rate of interest
is 5%, find the sum.
pls slove this question​

Answer 1

Answer:

Step-by-step explanation:

R=5%p.a.

Calculation of compound interest

=R= 5%p.a.= 5/2% per half year

Time = 1 year= 2 half years

A=P(1+R/200)²

P(1+5/200)²

P(1/40)²

(41/40)²P

=(1681/1600)P

CI = A-P = (1681P-1600P)/1600

= 81P/1600

SI = PRT/100

= (5×P×1)/100

= P/20

Now, CI - SI = 80

Or (81P/1600)-(P/20)=80

Or (81P-80P)/1600 = 80

Or P/1600=80

Or P= 80×1600=128000

Thus, principal/sum is 128000Rs.

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