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Suman invested an amount for three years at a simple interest rate of 9% per annum. He got an amount of Rs 19,050 at the end of three years. What principal amount did she invest?
- ARs 12,700
- BRs 15,000
- CRs 14,500
- DRs 17,500
Answer not set
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CCommunity
We know that, formula for simple interest-
$(S.I.\; = \frac{{P \times R \times T}}{{100}})$
Where,
S.I. = Simple Interest
P= principal
T = Time
Let the principal amount invested by Suman was Rs ‘P’,
Now, according to the question,
Amount = Principal + Simple interest
19,050 = P + [(P × 9 × 3)/100]
⇒ 19,050 = (127/100) P
Hence, P = (19,050 × 100)/127 = Rs 15,000
Hence, the principal amount was Rs 15,000.
$(S.I.\; = \frac{{P \times R \times T}}{{100}})$
Where,
S.I. = Simple Interest
P= principal
T = Time
Let the principal amount invested by Suman was Rs ‘P’,
Now, according to the question,
Amount = Principal + Simple interest
19,050 = P + [(P × 9 × 3)/100]
⇒ 19,050 = (127/100) P
Hence, P = (19,050 × 100)/127 = Rs 15,000
Hence, the principal amount was Rs 15,000.