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