TheNightKing
Ayush spent 44% of his monthly salary on accommodation and 1/8?ℎ of the remaining salary on study material. He also spent 71 (3/7)% of the remaining salary on buying some clothes and remaining amount he saves. If saving of Ayush is 16 (2/3)% of Abhi’s monthly salary then find Ayush’s expense on study material if Abhi’s annual salary is 252000.
(a) Rs. 1500
(b) Rs. 1850
(c) Rs. 1750
(d) Rs. 1900
(e) Rs. 1600
Given:
1. Ayush spent 44% of his monthly salary on accommodation and 1/8tℎ of the remaining salary on study material.
2. He also spent 71 (3/7)% of the remaining salary on buying some clothes and remaining amount he saves.
Asked: If saving of Ayush is 16 (2/3)% of Abhi’s monthly salary then find Ayush’s expense on study material if Abhi’s annual salary is 252000.
Let Ayush's salary be x
Ayush's expenses on accommodation = .44x
Ayush's expenses on study material = .56x * 1/8 = .07x
Ayush's expenses on clothes = 71 (3/7) % * (x - .44x -.07x)
Ayush's savings = 28 (4/7) % * (x - .44x -.07x) = = 16 (2/3)% * 252000/12
(2/7)(.49x) = (5/30)*252000/12 = (5*700)
x = 5*70000*(7/2)/49 = 25000
Ayush's expenses on study material = .07*25000 = 1750
IMO C