Arvind deposited a sum of money with a bank on 1st January, 2012 at 8% simple interest per annum. He received an amount ₹ 3,144 on 7th August, 2012.

Given,

Amount (A) = ₹ 3,144

Rate of intetest (R) = 8% per annum

Time (T) = 31 + 28 + 31 + 30 +31 + 30 +31 + 7 = 219 days = $$\frac{219}{365}$$ days

Let Principal amount = P

$$=$$>  $$A=\frac{P\times T\times R}{100}$$ + P

$$=$$>  3144 $$=\frac{P\times\frac{219}{365}\times8}{100}$$ + P

$$=$$>  3144 $$=\frac{P\times\frac{3}{5}\times8}{100}$$ + P

$$=$$>  3144 $$=\frac{P\times3\times8}{5\times100}$$ + P

$$=$$>  314400 $$=\frac{24P}{5}$$ + 100P

$$=$$>  314400 $$=\frac{524P}{5}$$

$$=$$>   524P = 314400 x 5

$$=$$>   P = ₹ 3000

Hence, the correct answer is Option B