Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. For how many days is Mr. Ankit is on tour?

Explanation

Let number days on tour is n, According to the question, 360 360 − =3 n n+4 (61, 61 + 3, 61 + 10) From option (2): (57, 60, 69)  (57, 57 + 3, 57 + 12) which is not equal to the given set From option (3): (75, 78, 85) (75, 75 + 3, 75 + 10) And from option (4): (89, 92, 99) (89, 89 + 3, 89 + 10) ⇒ 360( n + 4 − n) =3 n2 + 4n ⇒ 120 (4) = n2 + 4n ⇒ n2 + 4n – 480 = 0 ⇒ n2 + 24n – 20n – 480 = 0 ⇒ (n+24) (n–20) = 0 ⇒ n = 20 or n = –24 (Not Possible) Hence, number of days = 20 days. 310 Oswaal SSC CHSL Tier-I Year-wise Solved Papers