GATE CS 2018 Set 1 — Question 6
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only of the eligible men and of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?
Correct answer
(B) 2,00,000
Solution
Let be the number of eligible male senior citizens and be the number of eligible female senior citizens.
Given: .Number of men who claimed the gift = .
Number of women who claimed the gift = .Total money given away =
Total money =
Total money =
Total money =
Total money = Substituting :
Total money = .
Given: .Number of men who claimed the gift = .
Number of women who claimed the gift = .Total money given away =
Total money =
Total money =
Total money =
Total money = Substituting :
Total money = .
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