X Y and Z subscribe together Rs 70 000 for a business X subscribes Rs 5 000 more than Y and Y Rs 6 0...........

Quantitative Aptitude (CDS) Mixture and Alligation

X , Y, and Z subscribe together Rs.70,000 for a business. X subscribes Rs.5,000 more than Y and Y Rs.6,000 more than Z. Out of a total profit of Rs.76,000, X receives?

Rs.8,500

Rs.11,998

Rs.36,000

Rs.14,700

Explanation:

We have , X = Y + 5000
Y = Z + 6000
And. X + Y + Z = 70 , 000
X + X – 5000+ X – 11000 = 70,000
Or 3X = 70,000 – 16000
= 54,000
Or X = 18,000
Y = 13,000
Z = 7000
Thus , X:Y:Z = 18000 : 13000 : 7000
= 18 : 13 : 7
X’s profit = 18 ×76,000 / 38
= 36,000