A person took loan from a bank at 12% rate at simple interest 3 year later he returned Rs. 5400 as interest for a period of time. Amount taken at loan was
एक व्यक्‍ति ने एक बैंक से साधारण ब्याज की 12% वार्षिक दर पर ऋण लिया। तीन वर्ष के पश्चात उसने रू0 5,400 उस समयावधि के लिए केवल ब्याज के रूप में लौटाए। ऋणस्वरूप ली गयी मूल धन‌राशि थी

Options

A. Rs.12,000
B. Rs. 10,000
C. Rs. 20,000
D. Rs.15,000

Explanation

To find the principal amount (loan amount) taken by the person, we can use the formula for Simple Interest (SI):

\[ SI = \frac{P \times R \times T}{100} \]

Where:
- \( SI \) = Simple Interest
- \( P \) = Principal amount
- \( R \) = Rate of interest per annum
- \( T \) = Time in years

Given:
- \( SI = 5400 \) (the interest returned)
- \( R = 12\% \)
- \( T = 3 \) years

Now, we can substitute the known values into the formula:

\[ 5400 = \frac{P \times 12 \times 3}{100} \]

Next, we simplify the equation:

\[ 5400 = \frac{P \times 36}{100} \]

To eliminate the fraction, we can multiply both sides by 100:

\[ 5400 \times 100 = P \times 36 \]

\[ 540000 = P \times 36 \]

Now, we can solve for \( P \) by dividing both sides by 36:

\[ P = \frac{540000}{36} \]

Calculating the division:

\[ P = 15000 \]

Thus, the principal amount taken as a loan was Rs. 15,000.