what sum of money put at simple interest for two years at 8 % p.a.will amount to 1276?
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Given:
Years=2
Rate=8% p.a.
Amount=1276
To find:
The principal sum
Solution:
The required sum is Rs.1100.
We have the given amount that is inclusive of the principal.
So, to obtain the interest, we will have to deduct the principal from the interest.
Let the required sum be P.
The interest amount=Amount-principal
Using values,
Interest=1276-P
Also, interest=Principal sum×rate×years/100
So, interest amount=P×8×2/100
On equating, we get
1276-P=16P/100
1276=P+16P/100
1276=(100P+16P)/100
1276=116P/100
1276×100/116=P
1100=P
Therefore, the required sum is Rs.1100.
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