In simple interest rate per annum a certain sum amounts

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In 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

1. Rs. 2882
2. Rs. 5000
3. Rs. 3882
4. Rs. 4000

Correct Option: C

Let the principal be Rs. P.
∴ Principle + Simple Interest = Amount
According to the question,
P + S.I. for 2 years = Rs. 5182 ...(i)
P + S.I. for 3 years = Rs. 5832 ...(ii)
By equation (ii) – (i),
S.I. for 1 year = Rs. (5832 – 5182) = Rs. 650
∴ S.I. for 2 years = Rs. (2 × 650) = Rs. 1300
∴ Principal = Amount - SI = Rs. (5182 – 1300) = Rs. 3882