If 9685 is divided into three parts in such a way that one-fourth of the first part, one-third of the second part and one sixth of the third part are equal, then what is the first part?
Answer & explanation
Correct answer: option 3
According to the question,
⇒ a + b + c = 9685
\(\frac{1}{4}\)a = \(\frac{1}{3}\)b = \(\frac{1}{6}\)c
⇒ Taking LCM 12
⇒ 3a = 4b = 2c
⇒ Taking LCM 12
⇒ a : b : c = 4 : 3 : 6
⇒ (4 + 3 + 6) units = 9685
⇒ 13 units = 9685
⇒ 1 unit = 745
⇒ First part = 4 x 745 = 2980.