8)On a certain sum the interest paid after 3 years is Rs. 1728 at 8% p.a. Find the sum.
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Gıvєn :
- Simple interest = Rs.1728
- Time = 3 years
- Rate = 8% p.a
To Fınd :
- Sum and Principal
Solution :
✬ As in the question Simple interest is given Rs. 1728 , Rate is given 8% and time is 3 years. We have to find the sum that is also the Principal. We know that formula of Simple Interest is P × R × T/100. By Putting the values in this Formula we will get the required sum.
S.I = P × R × T/100
Where,
- ⇝ Time (t) = 3 years
- ⇝ Rate (r) = 8%
- ⇝ S.I = Rs.1728
⟶ 1728 = P × 8 × 3/100
⟶ 1728 × 100 = P × 8 × 3
⟶ 172800 = P × 24
⟶ P = 24/172800
⟶ P = 7200
_____________________
Verification :
S.I = P × R × T/100
⟶ 1728 = 7200 × 8 × 3
⟶ 1728 = 1728
Hence, Verified
_____________________
∴ Required Sum is Rs. 7200
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