Question
The earnings of ‘X’, ‘Y’, and ‘Z’ 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 ‘X’ and ‘Y’ spend 30% and 40% of their respective earnings, then what amount does ‘Z’ spend?Solution
ATQ,
Sum of earnings of ‘X’, ‘Y’, and ‘Z’ = 9500 × 3 = Rs. 28,500 Earning of ‘X’ = 28500 × (6/15) = Rs. 11,400 Earning of ‘Y’ = 28500 × (2/15) = Rs. 3,800 Earning of ‘Z’ = 28500 × (7/15) = Rs. 13,300 Sum of expenditures of all three = 3000 × 3 = Rs. 9,000 Spending of ‘X’ = 11400 × 0.30 = Rs. 3,420 Spending of ‘Y’ = 3800 × 0.40 = Rs. 1,520 So, spending of ‘Z’ = 9000 – 3420 – 1520 = Rs. 4,060
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