Question : At a simple interest rate per annum, a certain sum amounts to Rs. 5,182 in 2 years and Rs. 5,832 in 3 years. The principal in rupees is:
Option 1: 2882
Option 2: 5000
Option 3: 3882
Option 4: 4000
Correct Answer: 3882
Solution :
Given:
A certain sum amounts to Rs. 5,182 in 2 years and Rs.5,832 in 3 years.
Simple interest for 1 year = 5832 – 5182 = Rs.650
Simple interest for 2 years = 650 × 2 = Rs.1,300
Principal = Rs. (5182 – 1300)
⇒ Principal = Rs. 3,882
Hence, the correct answer is Rs. 3,882.
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