Question
The earnings of βXβ, βYβ, and βZβ are in the
ratio 6:2:7 respectively. The average earning of the three friends is Rs. 9,500. If the average spending of the three together is Rs. 3,000 and βXβ and βYβ spend 30% and 40% of their respective earnings, then what amount does βZβ spend?Solution
ATQ,
Sum of earnings of βXβ, βYβ, and βZβ = 9500 Γ 3 = Rs. 28,500 Earning of βXβ = 28500 Γ (6/15) = Rs. 11,400 Earning of βYβ = 28500 Γ (2/15) = Rs. 3,800 Earning of βZβ = 28500 Γ (7/15) = Rs. 13,300 Sum of expenditures of all three = 3000 Γ 3 = Rs. 9,000 Spending of βXβ = 11400 Γ 0.30 = Rs. 3,420 Spending of βYβ = 3800 Γ 0.40 = Rs. 1,520 So, spending of βZβ = 9000 β 3420 β 1520 = Rs. 4,060
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