Question
The income of 'Amit' surpasses that of 'Bhishma' by a
certain percentage. If the average of their incomes amounts to Rs. ____, then the individual income of 'Amit' is Rs. 20,000. The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true. I. 25, 18000 II. 60, 16250 III. 220, 13275Solution
ATQ, Let the income of ‘Bhishma’ be Rs.'b' For I: Income of ‘Amit’ = Rs. 1.25b Or, 1.25b = 20000 Or, b = 16000 Average income of ‘Amit’ and ‘Bhishma’ = (b + 1.25b)/2 = (20000 + 16000)/2 = Rs.18000 Therefore, I is true. For II: Income of ‘Amit’ = Rs. 1.6b Or. 1.6b = 20000 Or, b = 12500 Average income of ‘Amit’ and ‘Bhishma’ = (b + 1.6b)/2 = (20000 + 12500)/2 = Rs. 16250 Therefore, II is true. For III: Income of ‘Amit’ = Rs. 3.2b Or. 3.2b = 20000 Or, b = 6250 Average income of ‘Amit’ and ‘Bhishma’ = (b + 3.2b)/2 = (20000 + 6250)/2 = Rs.13125 Therefore, III is false.
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