If the compound interest on a certain sum for 3 years at the rate of 14\(\frac{2}{7}\)% per annum is Rs.101.40. Find the principal?

Rs. 245.80 Rs. 205.80 Rs. 307.20 Rs. 336.80

Rs. 205.80

14\(\frac{2}{7}\)% = \(\frac{1}{7}\) ⇒ C.I. of 3 years = (49 × 3) + (7 × 3) + 1 = 169 ⇒ ATQ, 169R = 101.4 ⇒ 1R = 0.6 ⇒ Principal = 343 × 0.6 = Rs.205.80